The classic proof that 2 = 1 runs thus. First, let x = y = 1. Then:
x = y
x2 = xy
x2 - y2 = xy - y2
(x + y)(x - y) = y(x - y)
x + y = y
2 = 1
NB: x2 signifies x squared.
Spoilers at overcoming bias, via Chris Dillow.
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