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Simplifying 12(3 + y) = 5(2y + 7) (3 * 12 + y * 12) = 5(2y + 7) (36 + 12y) = 5(2y + 7) Reorder the terms: 36 + 12y = 5(7 + 2y) 36 + 12y = (7 * 5 + 2y * 5) 36 + 12y = (35 + 10y) Solving 36 + 12y = 35 + 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 = 35 + 10y + -10y Combine like terms: 12y + -10y = 2y 36 + 2y = 35 + 10y + -10y Combine like terms: 10y + -10y = 0 36 + 2y = 35 + 0 36 + 2y = 35 Add '-36' to each side of the equation. 36 + -36 + 2y = 35 + -36 Combine like terms: 36 + -36 = 0 0 + 2y = 35 + -36 2y = 35 + -36 Combine like terms: 35 + -36 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5
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