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Simplifying 50 + -1[2 + 9y + -4(y + 3)] = -2(2y + -7) + -1[8(y + -1) + -1y + 4] Reorder the terms: 50 + -1[2 + 9y + -4(3 + y)] = -2(2y + -7) + -1[8(y + -1) + -1y + 4] 50 + -1[2 + 9y + (3 * -4 + y * -4)] = -2(2y + -7) + -1[8(y + -1) + -1y + 4] 50 + -1[2 + 9y + (-12 + -4y)] = -2(2y + -7) + -1[8(y + -1) + -1y + 4] Reorder the terms: 50 + -1[2 + -12 + 9y + -4y] = -2(2y + -7) + -1[8(y + -1) + -1y + 4] Combine like terms: 2 + -12 = -10 50 + -1[-10 + 9y + -4y] = -2(2y + -7) + -1[8(y + -1) + -1y + 4] Combine like terms: 9y + -4y = 5y 50 + -1[-10 + 5y] = -2(2y + -7) + -1[8(y + -1) + -1y + 4] 50 + [-10 * -1 + 5y * -1] = -2(2y + -7) + -1[8(y + -1) + -1y + 4] 50 + [10 + -5y] = -2(2y + -7) + -1[8(y + -1) + -1y + 4] Combine like terms: 50 + 10 = 60 60 + -5y = -2(2y + -7) + -1[8(y + -1) + -1y + 4] Reorder the terms: 60 + -5y = -2(-7 + 2y) + -1[8(y + -1) + -1y + 4] 60 + -5y = (-7 * -2 + 2y * -2) + -1[8(y + -1) + -1y + 4] 60 + -5y = (14 + -4y) + -1[8(y + -1) + -1y + 4] Reorder the terms: 60 + -5y = 14 + -4y + -1[8(-1 + y) + -1y + 4] 60 + -5y = 14 + -4y + -1[(-1 * 8 + y * 8) + -1y + 4] 60 + -5y = 14 + -4y + -1[(-8 + 8y) + -1y + 4] Reorder the terms: 60 + -5y = 14 + -4y + -1[-8 + 4 + 8y + -1y] Combine like terms: -8 + 4 = -4 60 + -5y = 14 + -4y + -1[-4 + 8y + -1y] Combine like terms: 8y + -1y = 7y 60 + -5y = 14 + -4y + -1[-4 + 7y] 60 + -5y = 14 + -4y + [-4 * -1 + 7y * -1] 60 + -5y = 14 + -4y + [4 + -7y] Reorder the terms: 60 + -5y = 14 + 4 + -4y + -7y Combine like terms: 14 + 4 = 18 60 + -5y = 18 + -4y + -7y Combine like terms: -4y + -7y = -11y 60 + -5y = 18 + -11y Solving 60 + -5y = 18 + -11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11y' to each side of the equation. 60 + -5y + 11y = 18 + -11y + 11y Combine like terms: -5y + 11y = 6y 60 + 6y = 18 + -11y + 11y Combine like terms: -11y + 11y = 0 60 + 6y = 18 + 0 60 + 6y = 18 Add '-60' to each side of the equation. 60 + -60 + 6y = 18 + -60 Combine like terms: 60 + -60 = 0 0 + 6y = 18 + -60 6y = 18 + -60 Combine like terms: 18 + -60 = -42 6y = -42 Divide each side by '6'. y = -7 Simplifying y = -7
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