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Simplifying 3(18 + 12y) = 6(18 + 7y) (18 * 3 + 12y * 3) = 6(18 + 7y) (54 + 36y) = 6(18 + 7y) 54 + 36y = (18 * 6 + 7y * 6) 54 + 36y = (108 + 42y) Solving 54 + 36y = 108 + 42y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42y' to each side of the equation. 54 + 36y + -42y = 108 + 42y + -42y Combine like terms: 36y + -42y = -6y 54 + -6y = 108 + 42y + -42y Combine like terms: 42y + -42y = 0 54 + -6y = 108 + 0 54 + -6y = 108 Add '-54' to each side of the equation. 54 + -54 + -6y = 108 + -54 Combine like terms: 54 + -54 = 0 0 + -6y = 108 + -54 -6y = 108 + -54 Combine like terms: 108 + -54 = 54 -6y = 54 Divide each side by '-6'. y = -9 Simplifying y = -9
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