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Simplifying 20 + -1[2 + 5y + -3(y + 5)] = -5(5y + -3) + -1[8(y + -1) + -26y + 10] Reorder the terms: 20 + -1[2 + 5y + -3(5 + y)] = -5(5y + -3) + -1[8(y + -1) + -26y + 10] 20 + -1[2 + 5y + (5 * -3 + y * -3)] = -5(5y + -3) + -1[8(y + -1) + -26y + 10] 20 + -1[2 + 5y + (-15 + -3y)] = -5(5y + -3) + -1[8(y + -1) + -26y + 10] Reorder the terms: 20 + -1[2 + -15 + 5y + -3y] = -5(5y + -3) + -1[8(y + -1) + -26y + 10] Combine like terms: 2 + -15 = -13 20 + -1[-13 + 5y + -3y] = -5(5y + -3) + -1[8(y + -1) + -26y + 10] Combine like terms: 5y + -3y = 2y 20 + -1[-13 + 2y] = -5(5y + -3) + -1[8(y + -1) + -26y + 10] 20 + [-13 * -1 + 2y * -1] = -5(5y + -3) + -1[8(y + -1) + -26y + 10] 20 + [13 + -2y] = -5(5y + -3) + -1[8(y + -1) + -26y + 10] Combine like terms: 20 + 13 = 33 33 + -2y = -5(5y + -3) + -1[8(y + -1) + -26y + 10] Reorder the terms: 33 + -2y = -5(-3 + 5y) + -1[8(y + -1) + -26y + 10] 33 + -2y = (-3 * -5 + 5y * -5) + -1[8(y + -1) + -26y + 10] 33 + -2y = (15 + -25y) + -1[8(y + -1) + -26y + 10] Reorder the terms: 33 + -2y = 15 + -25y + -1[8(-1 + y) + -26y + 10] 33 + -2y = 15 + -25y + -1[(-1 * 8 + y * 8) + -26y + 10] 33 + -2y = 15 + -25y + -1[(-8 + 8y) + -26y + 10] Reorder the terms: 33 + -2y = 15 + -25y + -1[-8 + 10 + 8y + -26y] Combine like terms: -8 + 10 = 2 33 + -2y = 15 + -25y + -1[2 + 8y + -26y] Combine like terms: 8y + -26y = -18y 33 + -2y = 15 + -25y + -1[2 + -18y] 33 + -2y = 15 + -25y + [2 * -1 + -18y * -1] 33 + -2y = 15 + -25y + [-2 + 18y] Reorder the terms: 33 + -2y = 15 + -2 + -25y + 18y Combine like terms: 15 + -2 = 13 33 + -2y = 13 + -25y + 18y Combine like terms: -25y + 18y = -7y 33 + -2y = 13 + -7y Solving 33 + -2y = 13 + -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. 33 + -2y + 7y = 13 + -7y + 7y Combine like terms: -2y + 7y = 5y 33 + 5y = 13 + -7y + 7y Combine like terms: -7y + 7y = 0 33 + 5y = 13 + 0 33 + 5y = 13 Add '-33' to each side of the equation. 33 + -33 + 5y = 13 + -33 Combine like terms: 33 + -33 = 0 0 + 5y = 13 + -33 5y = 13 + -33 Combine like terms: 13 + -33 = -20 5y = -20 Divide each side by '5'. y = -4 Simplifying y = -4
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