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Simplifying 4(2 + -4y) = 8y + 56 (2 * 4 + -4y * 4) = 8y + 56 (8 + -16y) = 8y + 56 Reorder the terms: 8 + -16y = 56 + 8y Solving 8 + -16y = 56 + 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. 8 + -16y + -8y = 56 + 8y + -8y Combine like terms: -16y + -8y = -24y 8 + -24y = 56 + 8y + -8y Combine like terms: 8y + -8y = 0 8 + -24y = 56 + 0 8 + -24y = 56 Add '-8' to each side of the equation. 8 + -8 + -24y = 56 + -8 Combine like terms: 8 + -8 = 0 0 + -24y = 56 + -8 -24y = 56 + -8 Combine like terms: 56 + -8 = 48 -24y = 48 Divide each side by '-24'. y = -2 Simplifying y = -2
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