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Simplifying 12(3 + y) = 5(3y + 8) (3 * 12 + y * 12) = 5(3y + 8) (36 + 12y) = 5(3y + 8) Reorder the terms: 36 + 12y = 5(8 + 3y) 36 + 12y = (8 * 5 + 3y * 5) 36 + 12y = (40 + 15y) Solving 36 + 12y = 40 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 36 + 12y + -15y = 40 + 15y + -15y Combine like terms: 12y + -15y = -3y 36 + -3y = 40 + 15y + -15y Combine like terms: 15y + -15y = 0 36 + -3y = 40 + 0 36 + -3y = 40 Add '-36' to each side of the equation. 36 + -36 + -3y = 40 + -36 Combine like terms: 36 + -36 = 0 0 + -3y = 40 + -36 -3y = 40 + -36 Combine like terms: 40 + -36 = 4 -3y = 4 Divide each side by '-3'. y = -1.333333333 Simplifying y = -1.333333333
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