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Solving the equation by completing the square.
y^2 +2y = 0
 (y+1)^2 - 1 = 0
  (y+1)^2 = 1  |Taking the square root of both sides of the EQ
   y + 1 = ± 1
    y = -1 ± 1
  y = 0 and y = -2
CHECKING our Answers***
   0 + 0 = 0
 4 + 2*-2 = 0