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Simplifying (y + -2)(y + 2) = y2 + -2y Reorder the terms: (-2 + y)(y + 2) = y2 + -2y Reorder the terms: (-2 + y)(2 + y) = y2 + -2y Multiply (-2 + y) * (2 + y) (-2(2 + y) + y(2 + y)) = y2 + -2y ((2 * -2 + y * -2) + y(2 + y)) = y2 + -2y ((-4 + -2y) + y(2 + y)) = y2 + -2y (-4 + -2y + (2 * y + y * y)) = y2 + -2y (-4 + -2y + (2y + y2)) = y2 + -2y Combine like terms: -2y + 2y = 0 (-4 + 0 + y2) = y2 + -2y (-4 + y2) = y2 + -2y Reorder the terms: -4 + y2 = -2y + y2 Add '-1y2' to each side of the equation. -4 + y2 + -1y2 = -2y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -4 + 0 = -2y + y2 + -1y2 -4 = -2y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -4 = -2y + 0 -4 = -2y Solving -4 = -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -4 + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 -4 + 2y = 0 Add '4' to each side of the equation. -4 + 4 + 2y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2y = 0 + 4 2y = 0 + 4 Combine like terms: 0 + 4 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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