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Simplifying 13(7 + -5y) = 5(3 + -12y) (7 * 13 + -5y * 13) = 5(3 + -12y) (91 + -65y) = 5(3 + -12y) 91 + -65y = (3 * 5 + -12y * 5) 91 + -65y = (15 + -60y) Solving 91 + -65y = 15 + -60y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '60y' to each side of the equation. 91 + -65y + 60y = 15 + -60y + 60y Combine like terms: -65y + 60y = -5y 91 + -5y = 15 + -60y + 60y Combine like terms: -60y + 60y = 0 91 + -5y = 15 + 0 91 + -5y = 15 Add '-91' to each side of the equation. 91 + -91 + -5y = 15 + -91 Combine like terms: 91 + -91 = 0 0 + -5y = 15 + -91 -5y = 15 + -91 Combine like terms: 15 + -91 = -76 -5y = -76 Divide each side by '-5'. y = 15.2 Simplifying y = 15.2
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