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Simplifying (2y + 7)(y + 1) = 2y2 + -11 Reorder the terms: (7 + 2y)(y + 1) = 2y2 + -11 Reorder the terms: (7 + 2y)(1 + y) = 2y2 + -11 Multiply (7 + 2y) * (1 + y) (7(1 + y) + 2y * (1 + y)) = 2y2 + -11 ((1 * 7 + y * 7) + 2y * (1 + y)) = 2y2 + -11 ((7 + 7y) + 2y * (1 + y)) = 2y2 + -11 (7 + 7y + (1 * 2y + y * 2y)) = 2y2 + -11 (7 + 7y + (2y + 2y2)) = 2y2 + -11 Combine like terms: 7y + 2y = 9y (7 + 9y + 2y2) = 2y2 + -11 Reorder the terms: 7 + 9y + 2y2 = -11 + 2y2 Add '-2y2' to each side of the equation. 7 + 9y + 2y2 + -2y2 = -11 + 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 7 + 9y + 0 = -11 + 2y2 + -2y2 7 + 9y = -11 + 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 7 + 9y = -11 + 0 7 + 9y = -11 Solving 7 + 9y = -11 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9y = -11 + -7 Combine like terms: 7 + -7 = 0 0 + 9y = -11 + -7 9y = -11 + -7 Combine like terms: -11 + -7 = -18 9y = -18 Divide each side by '9'. y = -2 Simplifying y = -2
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