1=2?

Algebra Level 2

I can prove 1 = 2

Step1\boxed{\text{Step1}} Lets say y = x
Step2\boxed{\text{Step2}}. Multiply by x xy = x2x^2
Step3\boxed{\text{Step3}} Subtract y2y^2 from each side xy - y2y^2 = x2x^2 - y2y^2
Step4\boxed{\text{Step4}} Factorize each side y(x-y) = (x+y)(x-y)
Step5\boxed{\text{Step5}} Divide both sides by (x-y) y = x+y
Step6\boxed{\text{Step6}} Since x = y y = y + y
Step7\boxed{\text{Step7}} And so... y = 2y
Step8\boxed{\text{Step8}}Divide both the sides by y 1 = 2\boxed{\text{1 = 2}}
Which step is wrong?

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