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Simplifying 12(y + 2) = 4(2y + 3) Reorder the terms: 12(2 + y) = 4(2y + 3) (2 * 12 + y * 12) = 4(2y + 3) (24 + 12y) = 4(2y + 3) Reorder the terms: 24 + 12y = 4(3 + 2y) 24 + 12y = (3 * 4 + 2y * 4) 24 + 12y = (12 + 8y) Solving 24 + 12y = 12 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 24 + 12y + -8y = 12 + 8y + -8y Combine like terms: 12y + -8y = 4y 24 + 4y = 12 + 8y + -8y Combine like terms: 8y + -8y = 0 24 + 4y = 12 + 0 24 + 4y = 12 Add '-24' to each side of the equation. 24 + -24 + 4y = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 4y = 12 + -24 4y = 12 + -24 Combine like terms: 12 + -24 = -12 4y = -12 Divide each side by '4'. y = -3 Simplifying y = -3
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