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Simplifying -4(2y + -6) = 8y + -24 Reorder the terms: -4(-6 + 2y) = 8y + -24 (-6 * -4 + 2y * -4) = 8y + -24 (24 + -8y) = 8y + -24 Reorder the terms: 24 + -8y = -24 + 8y Solving 24 + -8y = -24 + 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 + -8y + -8y = -24 + 8y + -8y Combine like terms: -8y + -8y = -16y 24 + -16y = -24 + 8y + -8y Combine like terms: 8y + -8y = 0 24 + -16y = -24 + 0 24 + -16y = -24 Add '-24' to each side of the equation. 24 + -24 + -16y = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -16y = -24 + -24 -16y = -24 + -24 Combine like terms: -24 + -24 = -48 -16y = -48 Divide each side by '-16'. y = 3 Simplifying y = 3
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