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Simplifying 2(4y + 8) = -24y Reorder the terms: 2(8 + 4y) = -24y (8 * 2 + 4y * 2) = -24y (16 + 8y) = -24y Solving 16 + 8y = -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. 16 + 8y + 24y = -24y + 24y Combine like terms: 8y + 24y = 32y 16 + 32y = -24y + 24y Combine like terms: -24y + 24y = 0 16 + 32y = 0 Add '-16' to each side of the equation. 16 + -16 + 32y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 32y = 0 + -16 32y = 0 + -16 Combine like terms: 0 + -16 = -16 32y = -16 Divide each side by '32'. y = -0.5 Simplifying y = -0.5
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