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Simplifying 3(y + 9) = -6(4y + -6) + 9y Reorder the terms: 3(9 + y) = -6(4y + -6) + 9y (9 * 3 + y * 3) = -6(4y + -6) + 9y (27 + 3y) = -6(4y + -6) + 9y Reorder the terms: 27 + 3y = -6(-6 + 4y) + 9y 27 + 3y = (-6 * -6 + 4y * -6) + 9y 27 + 3y = (36 + -24y) + 9y Combine like terms: -24y + 9y = -15y 27 + 3y = 36 + -15y Solving 27 + 3y = 36 + -15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15y' to each side of the equation. 27 + 3y + 15y = 36 + -15y + 15y Combine like terms: 3y + 15y = 18y 27 + 18y = 36 + -15y + 15y Combine like terms: -15y + 15y = 0 27 + 18y = 36 + 0 27 + 18y = 36 Add '-27' to each side of the equation. 27 + -27 + 18y = 36 + -27 Combine like terms: 27 + -27 = 0 0 + 18y = 36 + -27 18y = 36 + -27 Combine like terms: 36 + -27 = 9 18y = 9 Divide each side by '18'. y = 0.5 Simplifying y = 0.5
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