I've seen all of these "proofs" being added recently for 2 = 0, 1 < 0, etc, etc...so I figured I'd add my two proofs for 2 = 1, and proof that magic exists...
I apologize if these have already been posted...I haven't seen them yet though, so I thought I would put them up. These aren't difficult, and I fully expect them to be solved very quickly, but they're fun.
This first one is the golden oldie (I learned this one quite a few years ago and still like it):
let a = b
a2 = ab (multiply both sides by a)
a2 - b2 = ab - b2(subtract b2 from both sides)
(a + b)(a - b) = b(a - b) (factor)