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Find at which step of the following proof, it becomes false.   And give the reason.
  1. x  =  y
  2. x * x  =  x * y
  3. x * x y * y  =  x * y –  y * y
  4. ( x + y ) ( x y )  =  y * ( x –  y )
  5. x + y = y
  6. 2 y = y
  7. 2 = 1
  

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