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Simplifying -14 + -1[2 + 5y + -2(y + 2)] = -11(2y + -5) + -1[8(y + -1) + -3y + 3] Reorder the terms: -14 + -1[2 + 5y + -2(2 + y)] = -11(2y + -5) + -1[8(y + -1) + -3y + 3] -14 + -1[2 + 5y + (2 * -2 + y * -2)] = -11(2y + -5) + -1[8(y + -1) + -3y + 3] -14 + -1[2 + 5y + (-4 + -2y)] = -11(2y + -5) + -1[8(y + -1) + -3y + 3] Reorder the terms: -14 + -1[2 + -4 + 5y + -2y] = -11(2y + -5) + -1[8(y + -1) + -3y + 3] Combine like terms: 2 + -4 = -2 -14 + -1[-2 + 5y + -2y] = -11(2y + -5) + -1[8(y + -1) + -3y + 3] Combine like terms: 5y + -2y = 3y -14 + -1[-2 + 3y] = -11(2y + -5) + -1[8(y + -1) + -3y + 3] -14 + [-2 * -1 + 3y * -1] = -11(2y + -5) + -1[8(y + -1) + -3y + 3] -14 + [2 + -3y] = -11(2y + -5) + -1[8(y + -1) + -3y + 3] Combine like terms: -14 + 2 = -12 -12 + -3y = -11(2y + -5) + -1[8(y + -1) + -3y + 3] Reorder the terms: -12 + -3y = -11(-5 + 2y) + -1[8(y + -1) + -3y + 3] -12 + -3y = (-5 * -11 + 2y * -11) + -1[8(y + -1) + -3y + 3] -12 + -3y = (55 + -22y) + -1[8(y + -1) + -3y + 3] Reorder the terms: -12 + -3y = 55 + -22y + -1[8(-1 + y) + -3y + 3] -12 + -3y = 55 + -22y + -1[(-1 * 8 + y * 8) + -3y + 3] -12 + -3y = 55 + -22y + -1[(-8 + 8y) + -3y + 3] Reorder the terms: -12 + -3y = 55 + -22y + -1[-8 + 3 + 8y + -3y] Combine like terms: -8 + 3 = -5 -12 + -3y = 55 + -22y + -1[-5 + 8y + -3y] Combine like terms: 8y + -3y = 5y -12 + -3y = 55 + -22y + -1[-5 + 5y] -12 + -3y = 55 + -22y + [-5 * -1 + 5y * -1] -12 + -3y = 55 + -22y + [5 + -5y] Reorder the terms: -12 + -3y = 55 + 5 + -22y + -5y Combine like terms: 55 + 5 = 60 -12 + -3y = 60 + -22y + -5y Combine like terms: -22y + -5y = -27y -12 + -3y = 60 + -27y Solving -12 + -3y = 60 + -27y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27y' to each side of the equation. -12 + -3y + 27y = 60 + -27y + 27y Combine like terms: -3y + 27y = 24y -12 + 24y = 60 + -27y + 27y Combine like terms: -27y + 27y = 0 -12 + 24y = 60 + 0 -12 + 24y = 60 Add '12' to each side of the equation. -12 + 12 + 24y = 60 + 12 Combine like terms: -12 + 12 = 0 0 + 24y = 60 + 12 24y = 60 + 12 Combine like terms: 60 + 12 = 72 24y = 72 Divide each side by '24'. y = 3 Simplifying y = 3
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