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Simplifying [7(y + 5) + -17] + [2(y + -2) + 2] = 0 Reorder the terms: [7(5 + y) + -17] + [2(y + -2) + 2] = 0 [(5 * 7 + y * 7) + -17] + [2(y + -2) + 2] = 0 [(35 + 7y) + -17] + [2(y + -2) + 2] = 0 Reorder the terms: [35 + -17 + 7y] + [2(y + -2) + 2] = 0 Combine like terms: 35 + -17 = 18 [18 + 7y] + [2(y + -2) + 2] = 0 Remove brackets around [18 + 7y] 18 + 7y + [2(y + -2) + 2] = 0 Reorder the terms: 18 + 7y + [2(-2 + y) + 2] = 0 18 + 7y + [(-2 * 2 + y * 2) + 2] = 0 18 + 7y + [(-4 + 2y) + 2] = 0 Reorder the terms: 18 + 7y + [-4 + 2 + 2y] = 0 Combine like terms: -4 + 2 = -2 18 + 7y + [-2 + 2y] = 0 Remove brackets around [-2 + 2y] 18 + 7y + -2 + 2y = 0 Reorder the terms: 18 + -2 + 7y + 2y = 0 Combine like terms: 18 + -2 = 16 16 + 7y + 2y = 0 Combine like terms: 7y + 2y = 9y 16 + 9y = 0 Solving 16 + 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 9y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 9y = 0 + -16 9y = 0 + -16 Combine like terms: 0 + -16 = -16 9y = -16 Divide each side by '9'. y = -1.777777778 Simplifying y = -1.777777778
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