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Simplifying -3(8y + -3) = 4(1 + -7y) + 8 Reorder the terms: -3(-3 + 8y) = 4(1 + -7y) + 8 (-3 * -3 + 8y * -3) = 4(1 + -7y) + 8 (9 + -24y) = 4(1 + -7y) + 8 9 + -24y = (1 * 4 + -7y * 4) + 8 9 + -24y = (4 + -28y) + 8 Reorder the terms: 9 + -24y = 4 + 8 + -28y Combine like terms: 4 + 8 = 12 9 + -24y = 12 + -28y Solving 9 + -24y = 12 + -28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28y' to each side of the equation. 9 + -24y + 28y = 12 + -28y + 28y Combine like terms: -24y + 28y = 4y 9 + 4y = 12 + -28y + 28y Combine like terms: -28y + 28y = 0 9 + 4y = 12 + 0 9 + 4y = 12 Add '-9' to each side of the equation. 9 + -9 + 4y = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 4y = 12 + -9 4y = 12 + -9 Combine like terms: 12 + -9 = 3 4y = 3 Divide each side by '4'. y = 0.75 Simplifying y = 0.75
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