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Simplifying 12(4y + 5) = -6(6y + 18) Reorder the terms: 12(5 + 4y) = -6(6y + 18) (5 * 12 + 4y * 12) = -6(6y + 18) (60 + 48y) = -6(6y + 18) Reorder the terms: 60 + 48y = -6(18 + 6y) 60 + 48y = (18 * -6 + 6y * -6) 60 + 48y = (-108 + -36y) Solving 60 + 48y = -108 + -36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36y' to each side of the equation. 60 + 48y + 36y = -108 + -36y + 36y Combine like terms: 48y + 36y = 84y 60 + 84y = -108 + -36y + 36y Combine like terms: -36y + 36y = 0 60 + 84y = -108 + 0 60 + 84y = -108 Add '-60' to each side of the equation. 60 + -60 + 84y = -108 + -60 Combine like terms: 60 + -60 = 0 0 + 84y = -108 + -60 84y = -108 + -60 Combine like terms: -108 + -60 = -168 84y = -168 Divide each side by '84'. y = -2 Simplifying y = -2
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