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Simplifying 6(2y + 9) = -3(4y + 18) Reorder the terms: 6(9 + 2y) = -3(4y + 18) (9 * 6 + 2y * 6) = -3(4y + 18) (54 + 12y) = -3(4y + 18) Reorder the terms: 54 + 12y = -3(18 + 4y) 54 + 12y = (18 * -3 + 4y * -3) 54 + 12y = (-54 + -12y) Solving 54 + 12y = -54 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 54 + 12y + 12y = -54 + -12y + 12y Combine like terms: 12y + 12y = 24y 54 + 24y = -54 + -12y + 12y Combine like terms: -12y + 12y = 0 54 + 24y = -54 + 0 54 + 24y = -54 Add '-54' to each side of the equation. 54 + -54 + 24y = -54 + -54 Combine like terms: 54 + -54 = 0 0 + 24y = -54 + -54 24y = -54 + -54 Combine like terms: -54 + -54 = -108 24y = -108 Divide each side by '24'. y = -4.5 Simplifying y = -4.5
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