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Simplifying 12(3 + y) = 5(2v + 8) (3 * 12 + y * 12) = 5(2v + 8) (36 + 12y) = 5(2v + 8) Reorder the terms: 36 + 12y = 5(8 + 2v) 36 + 12y = (8 * 5 + 2v * 5) 36 + 12y = (40 + 10v) Solving 36 + 12y = 40 + 10v Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 12y = 40 + -36 + 10v Combine like terms: 36 + -36 = 0 0 + 12y = 40 + -36 + 10v 12y = 40 + -36 + 10v Combine like terms: 40 + -36 = 4 12y = 4 + 10v Divide each side by '12'. y = 0.3333333333 + 0.8333333333v Simplifying y = 0.3333333333 + 0.8333333333v
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