A few answers ,,, 1st thing , you need to remove front axle ,,, good news , you don't have to touch chain case...
Lock on the brake ,, remove speedo drive , then large nut from RH end of axle ....
release brake ,,, loosen off the track tension completely ... and it will be loose enough to
tuck up into the front cavity of tunnel and leave just enough room to slide out and in the axle with sprocket on...
I read it in tech book and have done it with my TW433... removing front set of bogies will add a bit of room...
To remove axle ... remove three bolts holding the RH end (nut already gone) and pull off the housing,, normally
pulls off easy because of all the nasty black grease from factory..
GRAB the axle and yank it out of the chain case ... it fits into a splined coupler that should be sealed from the chain case oil...maybe a drop..
Sometimes need to persuade with a short punch (2x4) and hammer from opposite side...
http://www.boats.net/parts/search/Yamaha/Snowmobile/1973/GP338/TRACK DRIVE/parts.html
item #3 is the coupler.... nice design...
It is always a challenge to tuck the track up out of the way even when rear axle was removed... patience
It takes a BIG socket to remove the RH axle nut.. but not much torque ,,, It the greasy one in my rack... about 1 3/8" I think
Borrow one rather than buy one as you may never need it again ..
Reverse these steps and realign the track .. maybe measure bolts before removing them...
Books always show this job with sled on its LH side but normally hang the back up.
Found that working on a bench and then raising back is easier on my back especially while stuffing the axle
back in ... bit of oil on splines for next guy in 30 years..
Good luck .. hope I didn't leave any step out ...
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If for any reason you wanted to remove chaincase ??? do it with axle out
Ron