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Simplifying 20 + -1[1 + 8y + -3(y + 3)] = -2(5y + -7) + -1[6(y + -1) + -8y + 1] Reorder the terms: 20 + -1[1 + 8y + -3(3 + y)] = -2(5y + -7) + -1[6(y + -1) + -8y + 1] 20 + -1[1 + 8y + (3 * -3 + y * -3)] = -2(5y + -7) + -1[6(y + -1) + -8y + 1] 20 + -1[1 + 8y + (-9 + -3y)] = -2(5y + -7) + -1[6(y + -1) + -8y + 1] Reorder the terms: 20 + -1[1 + -9 + 8y + -3y] = -2(5y + -7) + -1[6(y + -1) + -8y + 1] Combine like terms: 1 + -9 = -8 20 + -1[-8 + 8y + -3y] = -2(5y + -7) + -1[6(y + -1) + -8y + 1] Combine like terms: 8y + -3y = 5y 20 + -1[-8 + 5y] = -2(5y + -7) + -1[6(y + -1) + -8y + 1] 20 + [-8 * -1 + 5y * -1] = -2(5y + -7) + -1[6(y + -1) + -8y + 1] 20 + [8 + -5y] = -2(5y + -7) + -1[6(y + -1) + -8y + 1] Combine like terms: 20 + 8 = 28 28 + -5y = -2(5y + -7) + -1[6(y + -1) + -8y + 1] Reorder the terms: 28 + -5y = -2(-7 + 5y) + -1[6(y + -1) + -8y + 1] 28 + -5y = (-7 * -2 + 5y * -2) + -1[6(y + -1) + -8y + 1] 28 + -5y = (14 + -10y) + -1[6(y + -1) + -8y + 1] Reorder the terms: 28 + -5y = 14 + -10y + -1[6(-1 + y) + -8y + 1] 28 + -5y = 14 + -10y + -1[(-1 * 6 + y * 6) + -8y + 1] 28 + -5y = 14 + -10y + -1[(-6 + 6y) + -8y + 1] Reorder the terms: 28 + -5y = 14 + -10y + -1[-6 + 1 + 6y + -8y] Combine like terms: -6 + 1 = -5 28 + -5y = 14 + -10y + -1[-5 + 6y + -8y] Combine like terms: 6y + -8y = -2y 28 + -5y = 14 + -10y + -1[-5 + -2y] 28 + -5y = 14 + -10y + [-5 * -1 + -2y * -1] 28 + -5y = 14 + -10y + [5 + 2y] Reorder the terms: 28 + -5y = 14 + 5 + -10y + 2y Combine like terms: 14 + 5 = 19 28 + -5y = 19 + -10y + 2y Combine like terms: -10y + 2y = -8y 28 + -5y = 19 + -8y Solving 28 + -5y = 19 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 28 + -5y + 8y = 19 + -8y + 8y Combine like terms: -5y + 8y = 3y 28 + 3y = 19 + -8y + 8y Combine like terms: -8y + 8y = 0 28 + 3y = 19 + 0 28 + 3y = 19 Add '-28' to each side of the equation. 28 + -28 + 3y = 19 + -28 Combine like terms: 28 + -28 = 0 0 + 3y = 19 + -28 3y = 19 + -28 Combine like terms: 19 + -28 = -9 3y = -9 Divide each side by '3'. y = -3 Simplifying y = -3
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