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Simplifying 5(y + 6) = 3(y + 12) Reorder the terms: 5(6 + y) = 3(y + 12) (6 * 5 + y * 5) = 3(y + 12) (30 + 5y) = 3(y + 12) Reorder the terms: 30 + 5y = 3(12 + y) 30 + 5y = (12 * 3 + y * 3) 30 + 5y = (36 + 3y) Solving 30 + 5y = 36 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 30 + 5y + -3y = 36 + 3y + -3y Combine like terms: 5y + -3y = 2y 30 + 2y = 36 + 3y + -3y Combine like terms: 3y + -3y = 0 30 + 2y = 36 + 0 30 + 2y = 36 Add '-30' to each side of the equation. 30 + -30 + 2y = 36 + -30 Combine like terms: 30 + -30 = 0 0 + 2y = 36 + -30 2y = 36 + -30 Combine like terms: 36 + -30 = 6 2y = 6 Divide each side by '2'. y = 3 Simplifying y = 3
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