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Simplifying 9(y + 8) + -7(y + -10) = 0 Reorder the terms: 9(8 + y) + -7(y + -10) = 0 (8 * 9 + y * 9) + -7(y + -10) = 0 (72 + 9y) + -7(y + -10) = 0 Reorder the terms: 72 + 9y + -7(-10 + y) = 0 72 + 9y + (-10 * -7 + y * -7) = 0 72 + 9y + (70 + -7y) = 0 Reorder the terms: 72 + 70 + 9y + -7y = 0 Combine like terms: 72 + 70 = 142 142 + 9y + -7y = 0 Combine like terms: 9y + -7y = 2y 142 + 2y = 0 Solving 142 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-142' to each side of the equation. 142 + -142 + 2y = 0 + -142 Combine like terms: 142 + -142 = 0 0 + 2y = 0 + -142 2y = 0 + -142 Combine like terms: 0 + -142 = -142 2y = -142 Divide each side by '2'. y = -71 Simplifying y = -71
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