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Simplifying 15y + 13(5y + -7) = 709 Reorder the terms: 15y + 13(-7 + 5y) = 709 15y + (-7 * 13 + 5y * 13) = 709 15y + (-91 + 65y) = 709 Reorder the terms: -91 + 15y + 65y = 709 Combine like terms: 15y + 65y = 80y -91 + 80y = 709 Solving -91 + 80y = 709 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '91' to each side of the equation. -91 + 91 + 80y = 709 + 91 Combine like terms: -91 + 91 = 0 0 + 80y = 709 + 91 80y = 709 + 91 Combine like terms: 709 + 91 = 800 80y = 800 Divide each side by '80'. y = 10 Simplifying y = 10
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