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Simplifying 4[2 + -4(y + -1)] = 4(2y + 9) Reorder the terms: 4[2 + -4(-1 + y)] = 4(2y + 9) 4[2 + (-1 * -4 + y * -4)] = 4(2y + 9) 4[2 + (4 + -4y)] = 4(2y + 9) Combine like terms: 2 + 4 = 6 4[6 + -4y] = 4(2y + 9) [6 * 4 + -4y * 4] = 4(2y + 9) [24 + -16y] = 4(2y + 9) Reorder the terms: 24 + -16y = 4(9 + 2y) 24 + -16y = (9 * 4 + 2y * 4) 24 + -16y = (36 + 8y) Solving 24 + -16y = 36 + 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. 24 + -16y + -8y = 36 + 8y + -8y Combine like terms: -16y + -8y = -24y 24 + -24y = 36 + 8y + -8y Combine like terms: 8y + -8y = 0 24 + -24y = 36 + 0 24 + -24y = 36 Add '-24' to each side of the equation. 24 + -24 + -24y = 36 + -24 Combine like terms: 24 + -24 = 0 0 + -24y = 36 + -24 -24y = 36 + -24 Combine like terms: 36 + -24 = 12 -24y = 12 Divide each side by '-24'. y = -0.5 Simplifying y = -0.5
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