(1) X = Y Given
(2) X2 = XY Multiply both sides by X
(3) X2 - Y2 = XY - Y2 Subtract Y2 from both sides
(4) (X + Y)(X - Y) = Y(X - Y) Factor both sides
(5) (X + Y) = Y Cancel out common factors
(6) Y + Y = Y Substitute in from line (1)
(7) 2Y = Y Collect the Y's
(8) 2 = 1 Divide both sides by Y
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