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Simplifying 6(2y + 4) = 3(3y + 1) Reorder the terms: 6(4 + 2y) = 3(3y + 1) (4 * 6 + 2y * 6) = 3(3y + 1) (24 + 12y) = 3(3y + 1) Reorder the terms: 24 + 12y = 3(1 + 3y) 24 + 12y = (1 * 3 + 3y * 3) 24 + 12y = (3 + 9y) Solving 24 + 12y = 3 + 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 = 3 + 9y + -9y Combine like terms: 12y + -9y = 3y 24 + 3y = 3 + 9y + -9y Combine like terms: 9y + -9y = 0 24 + 3y = 3 + 0 24 + 3y = 3 Add '-24' to each side of the equation. 24 + -24 + 3y = 3 + -24 Combine like terms: 24 + -24 = 0 0 + 3y = 3 + -24 3y = 3 + -24 Combine like terms: 3 + -24 = -21 3y = -21 Divide each side by '3'. y = -7 Simplifying y = -7
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