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Simplifying 48 + -1[3 + 9y + -3(y + 4)] = -3(4y + -6) + -1[80(y + -1) + -5y + 14] Reorder the terms: 48 + -1[3 + 9y + -3(4 + y)] = -3(4y + -6) + -1[80(y + -1) + -5y + 14] 48 + -1[3 + 9y + (4 * -3 + y * -3)] = -3(4y + -6) + -1[80(y + -1) + -5y + 14] 48 + -1[3 + 9y + (-12 + -3y)] = -3(4y + -6) + -1[80(y + -1) + -5y + 14] Reorder the terms: 48 + -1[3 + -12 + 9y + -3y] = -3(4y + -6) + -1[80(y + -1) + -5y + 14] Combine like terms: 3 + -12 = -9 48 + -1[-9 + 9y + -3y] = -3(4y + -6) + -1[80(y + -1) + -5y + 14] Combine like terms: 9y + -3y = 6y 48 + -1[-9 + 6y] = -3(4y + -6) + -1[80(y + -1) + -5y + 14] 48 + [-9 * -1 + 6y * -1] = -3(4y + -6) + -1[80(y + -1) + -5y + 14] 48 + [9 + -6y] = -3(4y + -6) + -1[80(y + -1) + -5y + 14] Combine like terms: 48 + 9 = 57 57 + -6y = -3(4y + -6) + -1[80(y + -1) + -5y + 14] Reorder the terms: 57 + -6y = -3(-6 + 4y) + -1[80(y + -1) + -5y + 14] 57 + -6y = (-6 * -3 + 4y * -3) + -1[80(y + -1) + -5y + 14] 57 + -6y = (18 + -12y) + -1[80(y + -1) + -5y + 14] Reorder the terms: 57 + -6y = 18 + -12y + -1[80(-1 + y) + -5y + 14] 57 + -6y = 18 + -12y + -1[(-1 * 80 + y * 80) + -5y + 14] 57 + -6y = 18 + -12y + -1[(-80 + 80y) + -5y + 14] Reorder the terms: 57 + -6y = 18 + -12y + -1[-80 + 14 + 80y + -5y] Combine like terms: -80 + 14 = -66 57 + -6y = 18 + -12y + -1[-66 + 80y + -5y] Combine like terms: 80y + -5y = 75y 57 + -6y = 18 + -12y + -1[-66 + 75y] 57 + -6y = 18 + -12y + [-66 * -1 + 75y * -1] 57 + -6y = 18 + -12y + [66 + -75y] Reorder the terms: 57 + -6y = 18 + 66 + -12y + -75y Combine like terms: 18 + 66 = 84 57 + -6y = 84 + -12y + -75y Combine like terms: -12y + -75y = -87y 57 + -6y = 84 + -87y Solving 57 + -6y = 84 + -87y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '87y' to each side of the equation. 57 + -6y + 87y = 84 + -87y + 87y Combine like terms: -6y + 87y = 81y 57 + 81y = 84 + -87y + 87y Combine like terms: -87y + 87y = 0 57 + 81y = 84 + 0 57 + 81y = 84 Add '-57' to each side of the equation. 57 + -57 + 81y = 84 + -57 Combine like terms: 57 + -57 = 0 0 + 81y = 84 + -57 81y = 84 + -57 Combine like terms: 84 + -57 = 27 81y = 27 Divide each side by '81'. y = 0.3333333333 Simplifying y = 0.3333333333
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