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Simplifying 17 + -1[2 + 4y + -2(y + 5)] = -4(5y + -4) + -1[9(y + -1) + -25y + 8] Reorder the terms: 17 + -1[2 + 4y + -2(5 + y)] = -4(5y + -4) + -1[9(y + -1) + -25y + 8] 17 + -1[2 + 4y + (5 * -2 + y * -2)] = -4(5y + -4) + -1[9(y + -1) + -25y + 8] 17 + -1[2 + 4y + (-10 + -2y)] = -4(5y + -4) + -1[9(y + -1) + -25y + 8] Reorder the terms: 17 + -1[2 + -10 + 4y + -2y] = -4(5y + -4) + -1[9(y + -1) + -25y + 8] Combine like terms: 2 + -10 = -8 17 + -1[-8 + 4y + -2y] = -4(5y + -4) + -1[9(y + -1) + -25y + 8] Combine like terms: 4y + -2y = 2y 17 + -1[-8 + 2y] = -4(5y + -4) + -1[9(y + -1) + -25y + 8] 17 + [-8 * -1 + 2y * -1] = -4(5y + -4) + -1[9(y + -1) + -25y + 8] 17 + [8 + -2y] = -4(5y + -4) + -1[9(y + -1) + -25y + 8] Combine like terms: 17 + 8 = 25 25 + -2y = -4(5y + -4) + -1[9(y + -1) + -25y + 8] Reorder the terms: 25 + -2y = -4(-4 + 5y) + -1[9(y + -1) + -25y + 8] 25 + -2y = (-4 * -4 + 5y * -4) + -1[9(y + -1) + -25y + 8] 25 + -2y = (16 + -20y) + -1[9(y + -1) + -25y + 8] Reorder the terms: 25 + -2y = 16 + -20y + -1[9(-1 + y) + -25y + 8] 25 + -2y = 16 + -20y + -1[(-1 * 9 + y * 9) + -25y + 8] 25 + -2y = 16 + -20y + -1[(-9 + 9y) + -25y + 8] Reorder the terms: 25 + -2y = 16 + -20y + -1[-9 + 8 + 9y + -25y] Combine like terms: -9 + 8 = -1 25 + -2y = 16 + -20y + -1[-1 + 9y + -25y] Combine like terms: 9y + -25y = -16y 25 + -2y = 16 + -20y + -1[-1 + -16y] 25 + -2y = 16 + -20y + [-1 * -1 + -16y * -1] 25 + -2y = 16 + -20y + [1 + 16y] Reorder the terms: 25 + -2y = 16 + 1 + -20y + 16y Combine like terms: 16 + 1 = 17 25 + -2y = 17 + -20y + 16y Combine like terms: -20y + 16y = -4y 25 + -2y = 17 + -4y Solving 25 + -2y = 17 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 25 + -2y + 4y = 17 + -4y + 4y Combine like terms: -2y + 4y = 2y 25 + 2y = 17 + -4y + 4y Combine like terms: -4y + 4y = 0 25 + 2y = 17 + 0 25 + 2y = 17 Add '-25' to each side of the equation. 25 + -25 + 2y = 17 + -25 Combine like terms: 25 + -25 = 0 0 + 2y = 17 + -25 2y = 17 + -25 Combine like terms: 17 + -25 = -8 2y = -8 Divide each side by '2'. y = -4 Simplifying y = -4
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