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Simplifying 12(y + 2) = 2(5y + 6) Reorder the terms: 12(2 + y) = 2(5y + 6) (2 * 12 + y * 12) = 2(5y + 6) (24 + 12y) = 2(5y + 6) Reorder the terms: 24 + 12y = 2(6 + 5y) 24 + 12y = (6 * 2 + 5y * 2) 24 + 12y = (12 + 10y) Solving 24 + 12y = 12 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 24 + 12y + -10y = 12 + 10y + -10y Combine like terms: 12y + -10y = 2y 24 + 2y = 12 + 10y + -10y Combine like terms: 10y + -10y = 0 24 + 2y = 12 + 0 24 + 2y = 12 Add '-24' to each side of the equation. 24 + -24 + 2y = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 2y = 12 + -24 2y = 12 + -24 Combine like terms: 12 + -24 = -12 2y = -12 Divide each side by '2'. y = -6 Simplifying y = -6
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