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