My Kenmore 80 series washer seems to suddenly have a wobbly basket and is vibrating like it is not balanced. It is not spuinning properly.

Could be a broken spring under the tub. Not really an expert on the machanics of things, but that would be my first guess.

Have you checked the snubber spring and pad. Most likely this is your problem. It is located at the rear right side of the tub. Probably will have to remove the top to get to it. I have seen this problem many times on Kenmore.