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Simplifying 20 + -1[1 + 8y + -4(y + 5)] = -5(5y + -6) + -1[6(y + -1) + -22y + 17] Reorder the terms: 20 + -1[1 + 8y + -4(5 + y)] = -5(5y + -6) + -1[6(y + -1) + -22y + 17] 20 + -1[1 + 8y + (5 * -4 + y * -4)] = -5(5y + -6) + -1[6(y + -1) + -22y + 17] 20 + -1[1 + 8y + (-20 + -4y)] = -5(5y + -6) + -1[6(y + -1) + -22y + 17] Reorder the terms: 20 + -1[1 + -20 + 8y + -4y] = -5(5y + -6) + -1[6(y + -1) + -22y + 17] Combine like terms: 1 + -20 = -19 20 + -1[-19 + 8y + -4y] = -5(5y + -6) + -1[6(y + -1) + -22y + 17] Combine like terms: 8y + -4y = 4y 20 + -1[-19 + 4y] = -5(5y + -6) + -1[6(y + -1) + -22y + 17] 20 + [-19 * -1 + 4y * -1] = -5(5y + -6) + -1[6(y + -1) + -22y + 17] 20 + [19 + -4y] = -5(5y + -6) + -1[6(y + -1) + -22y + 17] Combine like terms: 20 + 19 = 39 39 + -4y = -5(5y + -6) + -1[6(y + -1) + -22y + 17] Reorder the terms: 39 + -4y = -5(-6 + 5y) + -1[6(y + -1) + -22y + 17] 39 + -4y = (-6 * -5 + 5y * -5) + -1[6(y + -1) + -22y + 17] 39 + -4y = (30 + -25y) + -1[6(y + -1) + -22y + 17] Reorder the terms: 39 + -4y = 30 + -25y + -1[6(-1 + y) + -22y + 17] 39 + -4y = 30 + -25y + -1[(-1 * 6 + y * 6) + -22y + 17] 39 + -4y = 30 + -25y + -1[(-6 + 6y) + -22y + 17] Reorder the terms: 39 + -4y = 30 + -25y + -1[-6 + 17 + 6y + -22y] Combine like terms: -6 + 17 = 11 39 + -4y = 30 + -25y + -1[11 + 6y + -22y] Combine like terms: 6y + -22y = -16y 39 + -4y = 30 + -25y + -1[11 + -16y] 39 + -4y = 30 + -25y + [11 * -1 + -16y * -1] 39 + -4y = 30 + -25y + [-11 + 16y] Reorder the terms: 39 + -4y = 30 + -11 + -25y + 16y Combine like terms: 30 + -11 = 19 39 + -4y = 19 + -25y + 16y Combine like terms: -25y + 16y = -9y 39 + -4y = 19 + -9y Solving 39 + -4y = 19 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 39 + -4y + 9y = 19 + -9y + 9y Combine like terms: -4y + 9y = 5y 39 + 5y = 19 + -9y + 9y Combine like terms: -9y + 9y = 0 39 + 5y = 19 + 0 39 + 5y = 19 Add '-39' to each side of the equation. 39 + -39 + 5y = 19 + -39 Combine like terms: 39 + -39 = 0 0 + 5y = 19 + -39 5y = 19 + -39 Combine like terms: 19 + -39 = -20 5y = -20 Divide each side by '5'. y = -4 Simplifying y = -4
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