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Simplifying 8(y + 3) = 9y + -8 Reorder the terms: 8(3 + y) = 9y + -8 (3 * 8 + y * 8) = 9y + -8 (24 + 8y) = 9y + -8 Reorder the terms: 24 + 8y = -8 + 9y Solving 24 + 8y = -8 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 24 + 8y + -9y = -8 + 9y + -9y Combine like terms: 8y + -9y = -1y 24 + -1y = -8 + 9y + -9y Combine like terms: 9y + -9y = 0 24 + -1y = -8 + 0 24 + -1y = -8 Add '-24' to each side of the equation. 24 + -24 + -1y = -8 + -24 Combine like terms: 24 + -24 = 0 0 + -1y = -8 + -24 -1y = -8 + -24 Combine like terms: -8 + -24 = -32 -1y = -32 Divide each side by '-1'. y = 32 Simplifying y = 32
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