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Simplifying 27(2y + 3) = 3(y + 2) + -3 Reorder the terms: 27(3 + 2y) = 3(y + 2) + -3 (3 * 27 + 2y * 27) = 3(y + 2) + -3 (81 + 54y) = 3(y + 2) + -3 Reorder the terms: 81 + 54y = 3(2 + y) + -3 81 + 54y = (2 * 3 + y * 3) + -3 81 + 54y = (6 + 3y) + -3 Reorder the terms: 81 + 54y = 6 + -3 + 3y Combine like terms: 6 + -3 = 3 81 + 54y = 3 + 3y Solving 81 + 54y = 3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 81 + 54y + -3y = 3 + 3y + -3y Combine like terms: 54y + -3y = 51y 81 + 51y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 81 + 51y = 3 + 0 81 + 51y = 3 Add '-81' to each side of the equation. 81 + -81 + 51y = 3 + -81 Combine like terms: 81 + -81 = 0 0 + 51y = 3 + -81 51y = 3 + -81 Combine like terms: 3 + -81 = -78 51y = -78 Divide each side by '51'. y = -1.529411765 Simplifying y = -1.529411765
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