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Simplifying y(y + 1) = y2 + -2y + -3 Reorder the terms: y(1 + y) = y2 + -2y + -3 (1 * y + y * y) = y2 + -2y + -3 (1y + y2) = y2 + -2y + -3 Reorder the terms: 1y + y2 = -3 + -2y + y2 Add '-1y2' to each side of the equation. 1y + y2 + -1y2 = -3 + -2y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 1y + 0 = -3 + -2y + y2 + -1y2 1y = -3 + -2y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 1y = -3 + -2y + 0 1y = -3 + -2y Solving 1y = -3 + -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. 1y + 2y = -3 + -2y + 2y Combine like terms: 1y + 2y = 3y 3y = -3 + -2y + 2y Combine like terms: -2y + 2y = 0 3y = -3 + 0 3y = -3 Divide each side by '3'. y = -1 Simplifying y = -1
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