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Simplifying 3(5 + -1y) = 6(y + 3) + -1y (5 * 3 + -1y * 3) = 6(y + 3) + -1y (15 + -3y) = 6(y + 3) + -1y Reorder the terms: 15 + -3y = 6(3 + y) + -1y 15 + -3y = (3 * 6 + y * 6) + -1y 15 + -3y = (18 + 6y) + -1y Combine like terms: 6y + -1y = 5y 15 + -3y = 18 + 5y Solving 15 + -3y = 18 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 15 + -3y + -5y = 18 + 5y + -5y Combine like terms: -3y + -5y = -8y 15 + -8y = 18 + 5y + -5y Combine like terms: 5y + -5y = 0 15 + -8y = 18 + 0 15 + -8y = 18 Add '-15' to each side of the equation. 15 + -15 + -8y = 18 + -15 Combine like terms: 15 + -15 = 0 0 + -8y = 18 + -15 -8y = 18 + -15 Combine like terms: 18 + -15 = 3 -8y = 3 Divide each side by '-8'. y = -0.375 Simplifying y = -0.375
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