1=2?

Algebra Level 2

I can prove 1 = 2

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

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