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Simplifying -2 + -1y + 7 + 2(3 + y) + 9 + -8y + -5 = 71 -2 + -1y + 7 + (3 * 2 + y * 2) + 9 + -8y + -5 = 71 -2 + -1y + 7 + (6 + 2y) + 9 + -8y + -5 = 71 Reorder the terms: -2 + 7 + 6 + 9 + -5 + -1y + 2y + -8y = 71 Combine like terms: -2 + 7 = 5 5 + 6 + 9 + -5 + -1y + 2y + -8y = 71 Combine like terms: 5 + 6 = 11 11 + 9 + -5 + -1y + 2y + -8y = 71 Combine like terms: 11 + 9 = 20 20 + -5 + -1y + 2y + -8y = 71 Combine like terms: 20 + -5 = 15 15 + -1y + 2y + -8y = 71 Combine like terms: -1y + 2y = 1y 15 + 1y + -8y = 71 Combine like terms: 1y + -8y = -7y 15 + -7y = 71 Solving 15 + -7y = 71 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -7y = 71 + -15 Combine like terms: 15 + -15 = 0 0 + -7y = 71 + -15 -7y = 71 + -15 Combine like terms: 71 + -15 = 56 -7y = 56 Divide each side by '-7'. y = -8 Simplifying y = -8
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