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Simplifying 2y + -9 + 2(7y + 8) = -2(y + 1) Reorder the terms: 2y + -9 + 2(8 + 7y) = -2(y + 1) 2y + -9 + (8 * 2 + 7y * 2) = -2(y + 1) 2y + -9 + (16 + 14y) = -2(y + 1) Reorder the terms: -9 + 16 + 2y + 14y = -2(y + 1) Combine like terms: -9 + 16 = 7 7 + 2y + 14y = -2(y + 1) Combine like terms: 2y + 14y = 16y 7 + 16y = -2(y + 1) Reorder the terms: 7 + 16y = -2(1 + y) 7 + 16y = (1 * -2 + y * -2) 7 + 16y = (-2 + -2y) Solving 7 + 16y = -2 + -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. 7 + 16y + 2y = -2 + -2y + 2y Combine like terms: 16y + 2y = 18y 7 + 18y = -2 + -2y + 2y Combine like terms: -2y + 2y = 0 7 + 18y = -2 + 0 7 + 18y = -2 Add '-7' to each side of the equation. 7 + -7 + 18y = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 18y = -2 + -7 18y = -2 + -7 Combine like terms: -2 + -7 = -9 18y = -9 Divide each side by '18'. y = -0.5 Simplifying y = -0.5
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