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Simplifying 3y(y + -1) = 2y(y + -2) + -1(3 + -1y2) Reorder the terms: 3y(-1 + y) = 2y(y + -2) + -1(3 + -1y2) (-1 * 3y + y * 3y) = 2y(y + -2) + -1(3 + -1y2) (-3y + 3y2) = 2y(y + -2) + -1(3 + -1y2) Reorder the terms: -3y + 3y2 = 2y(-2 + y) + -1(3 + -1y2) -3y + 3y2 = (-2 * 2y + y * 2y) + -1(3 + -1y2) -3y + 3y2 = (-4y + 2y2) + -1(3 + -1y2) -3y + 3y2 = -4y + 2y2 + (3 * -1 + -1y2 * -1) -3y + 3y2 = -4y + 2y2 + (-3 + 1y2) Reorder the terms: -3y + 3y2 = -3 + -4y + 2y2 + 1y2 Combine like terms: 2y2 + 1y2 = 3y2 -3y + 3y2 = -3 + -4y + 3y2 Add '-3y2' to each side of the equation. -3y + 3y2 + -3y2 = -3 + -4y + 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 -3y + 0 = -3 + -4y + 3y2 + -3y2 -3y = -3 + -4y + 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 -3y = -3 + -4y + 0 -3y = -3 + -4y Solving -3y = -3 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -3y + 4y = -3 + -4y + 4y Combine like terms: -3y + 4y = 1y 1y = -3 + -4y + 4y Combine like terms: -4y + 4y = 0 1y = -3 + 0 1y = -3 Divide each side by '1'. y = -3 Simplifying y = -3
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