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Simplifying 5(y + 4) = 3(y + 12) Reorder the terms: 5(4 + y) = 3(y + 12) (4 * 5 + y * 5) = 3(y + 12) (20 + 5y) = 3(y + 12) Reorder the terms: 20 + 5y = 3(12 + y) 20 + 5y = (12 * 3 + y * 3) 20 + 5y = (36 + 3y) Solving 20 + 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. 20 + 5y + -3y = 36 + 3y + -3y Combine like terms: 5y + -3y = 2y 20 + 2y = 36 + 3y + -3y Combine like terms: 3y + -3y = 0 20 + 2y = 36 + 0 20 + 2y = 36 Add '-20' to each side of the equation. 20 + -20 + 2y = 36 + -20 Combine like terms: 20 + -20 = 0 0 + 2y = 36 + -20 2y = 36 + -20 Combine like terms: 36 + -20 = 16 2y = 16 Divide each side by '2'. y = 8 Simplifying y = 8
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