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Simplifying 5(3 + -1y) = 3y + -15 (3 * 5 + -1y * 5) = 3y + -15 (15 + -5y) = 3y + -15 Reorder the terms: 15 + -5y = -15 + 3y Solving 15 + -5y = -15 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 15 + -5y + -3y = -15 + 3y + -3y Combine like terms: -5y + -3y = -8y 15 + -8y = -15 + 3y + -3y Combine like terms: 3y + -3y = 0 15 + -8y = -15 + 0 15 + -8y = -15 Add '-15' to each side of the equation. 15 + -15 + -8y = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -8y = -15 + -15 -8y = -15 + -15 Combine like terms: -15 + -15 = -30 -8y = -30 Divide each side by '-8'. y = 3.75 Simplifying y = 3.75
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