Interested in syncing the carbs on your multi-carbed motorcycle? You've got a couple of methods at your disposal: the vacuum gauge method (typically used in motorcycle shops) and the ball-bearing method. If you've got vacuum gauges, give that a shot; if not, go for the ball-bearing method.
Steps
Using a Vacuum Gauge

Ensure your carbs are clean and functioning perfectly. Clean the bowls, jets, passages, and check the rubber diaphragms under the top lid for any holes. Make sure your carb needles and floats are positioned correctly, as per your machine's workshop manual. Look for leaks in the rubber manifolds and adjust the idle mixture screws to the specified number of turns. Your bike should now idle smoothly.
- Adjust the idle mixture screw on each carb - you'll notice the engine idling faster or slower. The point where it idles fastest is correct, find that on all the carbs, while readjusting your main idle to the revs indicated in your manual, usually slightly less than 1000 rpm on a 4-cylinder. Congratulations, you've adjusted and synchronized the idle speed!

Remove the small rubber covers or screws that seal the vacuum passage on each carburetor. Connect the hoses from the vacuum gauges, then start the engine, preferably after it's warmed up.

Operate the throttle a few times, then let it idle. You'll notice the needles on the gauges rise when you open the throttle and flutter when idling. First, let's address the fluttering.
- Each gauge has an adjustment screw near the tube entry. Turn it until the fluttering subsides, but doesn't stop completely. Rev the engine in between adjustments until all gauge needles flutter somewhat calmly at idle. Then open the throttle to observe the needles rise... to different positions on the gauge. Your next task is to synchronize them.

Loosen the locknuts on the butterfly valve adjusting screws of each carburetor. Depending on your bike, one carburetor may be non-adjustable: this is the reference for the others.
- Gradually loosen or tighten these screws, while opening the throttle in between, until all gauge needles rise and fall simultaneously, perfectly in sync. This process takes time and can be noisy and frustrating. Persistence is key!

Once you've achieved this and tightened the locknuts, with all needles still in perfect sync, you're done! Your carbs are now synchronized! However, if your machine and its carbs are old and worn, achieving perfect synchronization may be challenging. For those who simply want to keep their old bike running smoothly, there's an alternative method of adjustment.
Using Ball Bearings

If you're unable to use the conventional method, try this alternative. Perhaps you lack vacuum gauges, can't afford them, or your bike is too worn out for them to be effective? Stranded in the middle of nowhere without access to mechanics or workshops? Don't worry, here's a makeshift method for syncing your carbs. All you need are a few small metal balls from an old ball bearing, approximately 5mm in diameter, one for each carburetor, easily obtainable from any scrapyard, and a useful addition to your emergency toolkit.

Inspect the carbs for visible leaks in the bodies or manifolds. Use brake cleaner (or lighter fluid) to carefully spray them. If the engine revs higher when you spray a specific spot, it indicates an air leak. Seal it with some liquid gasket or even chewing gum. Surprisingly, it works, at least for short distances. (Often, this is the root cause of your previously well-adjusted carbs misbehaving.)

Drain the bowls, loosen the clamps, and remove the carbs! Keep them connected to the throttle. Position them, level, above a level cardboard box or similar surface. Place one ball from a ball bearing in each carburetor.

Gradually open the throttle. Observe the butterfly valves opening and listen to the sound of the metal balls dropping onto the cardboard - 'ploploploplop'. Adjust the butterfly valve screws until you hear just one 'plop'. That's it, your carbs are now synchronized!

Reinstall the carbs and reconnect all the hoses. Ride off into the sunset!
Helpful Tips
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Keep a manual for your bike on hand, containing all the necessary parameters to maintain optimal performance.
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Always use high-quality and properly fitting tools. Leave the monkey wrenches for the monkeys.
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Engage your brain first, then your eyes, and only then your hands.
Important Warnings
- When inspecting your carbs for leaks by spraying highly flammable liquids, ensure you're near an open flame for maximum impact and macho scars to brag about later.