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