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Simplifying 29 + -1[4 + 7y + -2(y + 2)] = -5(5y + -7) + -1[9(y + -1) + -27y + 27] Reorder the terms: 29 + -1[4 + 7y + -2(2 + y)] = -5(5y + -7) + -1[9(y + -1) + -27y + 27] 29 + -1[4 + 7y + (2 * -2 + y * -2)] = -5(5y + -7) + -1[9(y + -1) + -27y + 27] 29 + -1[4 + 7y + (-4 + -2y)] = -5(5y + -7) + -1[9(y + -1) + -27y + 27] Reorder the terms: 29 + -1[4 + -4 + 7y + -2y] = -5(5y + -7) + -1[9(y + -1) + -27y + 27] Combine like terms: 4 + -4 = 0 29 + -1[0 + 7y + -2y] = -5(5y + -7) + -1[9(y + -1) + -27y + 27] 29 + -1[7y + -2y] = -5(5y + -7) + -1[9(y + -1) + -27y + 27] Combine like terms: 7y + -2y = 5y 29 + -1[5y] = -5(5y + -7) + -1[9(y + -1) + -27y + 27] Remove brackets around [5y] 29 + -1 * 5y = -5(5y + -7) + -1[9(y + -1) + -27y + 27] Multiply -1 * 5 29 + -5y = -5(5y + -7) + -1[9(y + -1) + -27y + 27] Reorder the terms: 29 + -5y = -5(-7 + 5y) + -1[9(y + -1) + -27y + 27] 29 + -5y = (-7 * -5 + 5y * -5) + -1[9(y + -1) + -27y + 27] 29 + -5y = (35 + -25y) + -1[9(y + -1) + -27y + 27] Reorder the terms: 29 + -5y = 35 + -25y + -1[9(-1 + y) + -27y + 27] 29 + -5y = 35 + -25y + -1[(-1 * 9 + y * 9) + -27y + 27] 29 + -5y = 35 + -25y + -1[(-9 + 9y) + -27y + 27] Reorder the terms: 29 + -5y = 35 + -25y + -1[-9 + 27 + 9y + -27y] Combine like terms: -9 + 27 = 18 29 + -5y = 35 + -25y + -1[18 + 9y + -27y] Combine like terms: 9y + -27y = -18y 29 + -5y = 35 + -25y + -1[18 + -18y] 29 + -5y = 35 + -25y + [18 * -1 + -18y * -1] 29 + -5y = 35 + -25y + [-18 + 18y] Reorder the terms: 29 + -5y = 35 + -18 + -25y + 18y Combine like terms: 35 + -18 = 17 29 + -5y = 17 + -25y + 18y Combine like terms: -25y + 18y = -7y 29 + -5y = 17 + -7y Solving 29 + -5y = 17 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 29 + -5y + 7y = 17 + -7y + 7y Combine like terms: -5y + 7y = 2y 29 + 2y = 17 + -7y + 7y Combine like terms: -7y + 7y = 0 29 + 2y = 17 + 0 29 + 2y = 17 Add '-29' to each side of the equation. 29 + -29 + 2y = 17 + -29 Combine like terms: 29 + -29 = 0 0 + 2y = 17 + -29 2y = 17 + -29 Combine like terms: 17 + -29 = -12 2y = -12 Divide each side by '2'. y = -6 Simplifying y = -6
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