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Simplifying 12(3 + y) = 5(2y + 5) (3 * 12 + y * 12) = 5(2y + 5) (36 + 12y) = 5(2y + 5) Reorder the terms: 36 + 12y = 5(5 + 2y) 36 + 12y = (5 * 5 + 2y * 5) 36 + 12y = (25 + 10y) Solving 36 + 12y = 25 + 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. 36 + 12y + -10y = 25 + 10y + -10y Combine like terms: 12y + -10y = 2y 36 + 2y = 25 + 10y + -10y Combine like terms: 10y + -10y = 0 36 + 2y = 25 + 0 36 + 2y = 25 Add '-36' to each side of the equation. 36 + -36 + 2y = 25 + -36 Combine like terms: 36 + -36 = 0 0 + 2y = 25 + -36 2y = 25 + -36 Combine like terms: 25 + -36 = -11 2y = -11 Divide each side by '2'. y = -5.5 Simplifying y = -5.5
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