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Simplifying 4(y + 8) = 9y + 27 Reorder the terms: 4(8 + y) = 9y + 27 (8 * 4 + y * 4) = 9y + 27 (32 + 4y) = 9y + 27 Reorder the terms: 32 + 4y = 27 + 9y Solving 32 + 4y = 27 + 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. 32 + 4y + -9y = 27 + 9y + -9y Combine like terms: 4y + -9y = -5y 32 + -5y = 27 + 9y + -9y Combine like terms: 9y + -9y = 0 32 + -5y = 27 + 0 32 + -5y = 27 Add '-32' to each side of the equation. 32 + -32 + -5y = 27 + -32 Combine like terms: 32 + -32 = 0 0 + -5y = 27 + -32 -5y = 27 + -32 Combine like terms: 27 + -32 = -5 -5y = -5 Divide each side by '-5'. y = 1 Simplifying y = 1
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