2=1 PROVED 100% MATHEMATICAL

Let,
x = y
Now multiplying both side with x, 
we get--

x² = xy

Now subtract y² from both side, 
we get--

      x² - y² = xy- y²

or, (x - y)(x + y)= y (x-y)

or, x + y = y      [ as x-y common]

or, y + y = y

or, 2y = y

or, 2 = 1    [proved]

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but as we know its impossible , if do so all mathematics base will breakdown. so, in this above equation there is an error, could you find it?

if not, here is the error:--

in the above equation on 4th line i just common (x - y) from both side and cut it too. it is the error. we cannot do that as at first we take x = y, therefore (x - y)=0 and (0/0)  ≠ 1, its infinity. so its the perfect error in the above equation.

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