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Simplifying (y + -1)(y + 1) + -2y(y + 1) = -1y * y Reorder the terms: (-1 + y)(y + 1) + -2y(y + 1) = -1y * y Reorder the terms: (-1 + y)(1 + y) + -2y(y + 1) = -1y * y Multiply (-1 + y) * (1 + y) (-1(1 + y) + y(1 + y)) + -2y(y + 1) = -1y * y ((1 * -1 + y * -1) + y(1 + y)) + -2y(y + 1) = -1y * y ((-1 + -1y) + y(1 + y)) + -2y(y + 1) = -1y * y (-1 + -1y + (1 * y + y * y)) + -2y(y + 1) = -1y * y (-1 + -1y + (1y + y2)) + -2y(y + 1) = -1y * y Combine like terms: -1y + 1y = 0 (-1 + 0 + y2) + -2y(y + 1) = -1y * y (-1 + y2) + -2y(y + 1) = -1y * y Reorder the terms: -1 + y2 + -2y(1 + y) = -1y * y -1 + y2 + (1 * -2y + y * -2y) = -1y * y -1 + y2 + (-2y + -2y2) = -1y * y Reorder the terms: -1 + -2y + y2 + -2y2 = -1y * y Combine like terms: y2 + -2y2 = -1y2 -1 + -2y + -1y2 = -1y * y Multiply y * y -1 + -2y + -1y2 = -1y2 Add 'y2' to each side of the equation. -1 + -2y + -1y2 + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -1 + -2y + 0 = -1y2 + y2 -1 + -2y = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -1 + -2y = 0 Solving -1 + -2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2y = 0 + 1 -2y = 0 + 1 Combine like terms: 0 + 1 = 1 -2y = 1 Divide each side by '-2'. y = -0.5 Simplifying y = -0.5
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