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Simplifying 3(4y + 5) = 27 + -9y Reorder the terms: 3(5 + 4y) = 27 + -9y (5 * 3 + 4y * 3) = 27 + -9y (15 + 12y) = 27 + -9y Solving 15 + 12y = 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. 15 + 12y + 9y = 27 + -9y + 9y Combine like terms: 12y + 9y = 21y 15 + 21y = 27 + -9y + 9y Combine like terms: -9y + 9y = 0 15 + 21y = 27 + 0 15 + 21y = 27 Add '-15' to each side of the equation. 15 + -15 + 21y = 27 + -15 Combine like terms: 15 + -15 = 0 0 + 21y = 27 + -15 21y = 27 + -15 Combine like terms: 27 + -15 = 12 21y = 12 Divide each side by '21'. y = 0.5714285714 Simplifying y = 0.5714285714
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