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Simplifying 2(y + 5) + 7(y + 8) = 0 Reorder the terms: 2(5 + y) + 7(y + 8) = 0 (5 * 2 + y * 2) + 7(y + 8) = 0 (10 + 2y) + 7(y + 8) = 0 Reorder the terms: 10 + 2y + 7(8 + y) = 0 10 + 2y + (8 * 7 + y * 7) = 0 10 + 2y + (56 + 7y) = 0 Reorder the terms: 10 + 56 + 2y + 7y = 0 Combine like terms: 10 + 56 = 66 66 + 2y + 7y = 0 Combine like terms: 2y + 7y = 9y 66 + 9y = 0 Solving 66 + 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 9y = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 9y = 0 + -66 9y = 0 + -66 Combine like terms: 0 + -66 = -66 9y = -66 Divide each side by '9'. y = -7.333333333 Simplifying y = -7.333333333
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