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