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Simplifying 5(3 + -3y) = 6(6y + 12) (3 * 5 + -3y * 5) = 6(6y + 12) (15 + -15y) = 6(6y + 12) Reorder the terms: 15 + -15y = 6(12 + 6y) 15 + -15y = (12 * 6 + 6y * 6) 15 + -15y = (72 + 36y) Solving 15 + -15y = 72 + 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. 15 + -15y + -36y = 72 + 36y + -36y Combine like terms: -15y + -36y = -51y 15 + -51y = 72 + 36y + -36y Combine like terms: 36y + -36y = 0 15 + -51y = 72 + 0 15 + -51y = 72 Add '-15' to each side of the equation. 15 + -15 + -51y = 72 + -15 Combine like terms: 15 + -15 = 0 0 + -51y = 72 + -15 -51y = 72 + -15 Combine like terms: 72 + -15 = 57 -51y = 57 Divide each side by '-51'. y = -1.117647059 Simplifying y = -1.117647059
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