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Simplifying 12(y + 2) = (5y + 6) Reorder the terms: 12(2 + y) = (5y + 6) (2 * 12 + y * 12) = (5y + 6) (24 + 12y) = (5y + 6) Reorder the terms: 24 + 12y = (6 + 5y) Remove parenthesis around (6 + 5y) 24 + 12y = 6 + 5y Solving 24 + 12y = 6 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 24 + 12y + -5y = 6 + 5y + -5y Combine like terms: 12y + -5y = 7y 24 + 7y = 6 + 5y + -5y Combine like terms: 5y + -5y = 0 24 + 7y = 6 + 0 24 + 7y = 6 Add '-24' to each side of the equation. 24 + -24 + 7y = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 7y = 6 + -24 7y = 6 + -24 Combine like terms: 6 + -24 = -18 7y = -18 Divide each side by '7'. y = -2.571428571 Simplifying y = -2.571428571
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