I hear what sounds like the spring rattling on the exhaust can. Just like mine. It also sounds like mine do. Which I think it sounds like it is running pretty good. Mine smoke pretty good. I have 2 in a 20x24 garage with the door open it looks like cheech and chongs van with the smoke rolling out. When they are warming up. When you get some snow I say do some plug chops and see what the spark plugs look like. If you are sure all passage ways, jets are clean, floats are not sticking in the carbs. One of the main reasons we turn the fuel screws out a little more is due to the idle hang these have. (common issue) So instead of the 1 1/2 turns out some including me go 1 3/4 turns out. To help with that. Hopefully you paid attention to what jets where in what carbs because one of the main jets is different size. Just a fyi. I hope you put in fresh fuel. Also in getting them ready I like to spray a little starter fluid around the seals and carb boots. If the rpms increase then you have a leak.
owner manual some good info.
http://www.yamahamotorsports.com/assets/service/manuals/1998/lit-12628-01-93_756.pdf
carb cleaning
http://www.totallyamaha.com/snowmob...Carb Cleaning/Carb cleaning 101 with pics.htm
reading plugs
http://www.totallyamaha.com/snowmob...g a Sled/Jetting a sled and reading plugs.htm
I have made this mistake when I have had the cards and air box off. The oil cable pulls apart under that rubber boot. Make sure its together right. The throttle will feel a little funny if its not.
Also when your showing the clutch side in the video something does not sound right in the primary. could just be my speakers. I might take that cover off and just check it for loose parts.