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Simplifying y2 + 3 + -1(y + 1)(y + 2) = 0 Reorder the terms: y2 + 3 + -1(1 + y)(y + 2) = 0 Reorder the terms: y2 + 3 + -1(1 + y)(2 + y) = 0 Multiply (1 + y) * (2 + y) y2 + 3 + -1(1(2 + y) + y(2 + y)) = 0 y2 + 3 + -1((2 * 1 + y * 1) + y(2 + y)) = 0 y2 + 3 + -1((2 + 1y) + y(2 + y)) = 0 y2 + 3 + -1(2 + 1y + (2 * y + y * y)) = 0 y2 + 3 + -1(2 + 1y + (2y + y2)) = 0 Combine like terms: 1y + 2y = 3y y2 + 3 + -1(2 + 3y + y2) = 0 y2 + 3 + (2 * -1 + 3y * -1 + y2 * -1) = 0 y2 + 3 + (-2 + -3y + -1y2) = 0 Reorder the terms: 3 + -2 + -3y + y2 + -1y2 = 0 Combine like terms: 3 + -2 = 1 1 + -3y + y2 + -1y2 = 0 Combine like terms: y2 + -1y2 = 0 1 + -3y + 0 = 0 1 + -3y = 0 Solving 1 + -3y = 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 + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3y = 0 + -1 -3y = 0 + -1 Combine like terms: 0 + -1 = -1 -3y = -1 Divide each side by '-3'. y = 0.3333333333 Simplifying y = 0.3333333333
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