32lb for any domestic cat is extremely obese, my girlfriend is a vet tech and she said you should take him to the vet either way. he could have diabetes and this could be causing him to be this heavy, he also could have hyper-thyroid issues, so it is actually important to take the cat to see the vet

You've been given basic instructions on what to do to seek the proper help, now its up to you to actually get this done.

He could be throwing up because something is not healthy within the cat, not because he wants to keep eating. I know that sounds like a nice plausible excuse but I think there is more going on inside

CAT DOOM!