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Simplifying 3(4m + 5) + 6m = 5(6y + 3) + -8 Reorder the terms: 3(5 + 4m) + 6m = 5(6y + 3) + -8 (5 * 3 + 4m * 3) + 6m = 5(6y + 3) + -8 (15 + 12m) + 6m = 5(6y + 3) + -8 Combine like terms: 12m + 6m = 18m 15 + 18m = 5(6y + 3) + -8 Reorder the terms: 15 + 18m = 5(3 + 6y) + -8 15 + 18m = (3 * 5 + 6y * 5) + -8 15 + 18m = (15 + 30y) + -8 Reorder the terms: 15 + 18m = 15 + -8 + 30y Combine like terms: 15 + -8 = 7 15 + 18m = 7 + 30y Solving 15 + 18m = 7 + 30y Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 18m = 7 + -15 + 30y Combine like terms: 15 + -15 = 0 0 + 18m = 7 + -15 + 30y 18m = 7 + -15 + 30y Combine like terms: 7 + -15 = -8 18m = -8 + 30y Divide each side by '18'. m = -0.4444444444 + 1.666666667y Simplifying m = -0.4444444444 + 1.666666667y
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