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Simplifying 8(4y + 8) = 24y Reorder the terms: 8(8 + 4y) = 24y (8 * 8 + 4y * 8) = 24y (64 + 32y) = 24y Solving 64 + 32y = 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 64 + 32y + -24y = 24y + -24y Combine like terms: 32y + -24y = 8y 64 + 8y = 24y + -24y Combine like terms: 24y + -24y = 0 64 + 8y = 0 Add '-64' to each side of the equation. 64 + -64 + 8y = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 8y = 0 + -64 8y = 0 + -64 Combine like terms: 0 + -64 = -64 8y = -64 Divide each side by '8'. y = -8 Simplifying y = -8
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