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Simplifying 7(13 + -8y) = 9(5 + 4y) (13 * 7 + -8y * 7) = 9(5 + 4y) (91 + -56y) = 9(5 + 4y) 91 + -56y = (5 * 9 + 4y * 9) 91 + -56y = (45 + 36y) Solving 91 + -56y = 45 + 36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36y' to each side of the equation. 91 + -56y + -36y = 45 + 36y + -36y Combine like terms: -56y + -36y = -92y 91 + -92y = 45 + 36y + -36y Combine like terms: 36y + -36y = 0 91 + -92y = 45 + 0 91 + -92y = 45 Add '-91' to each side of the equation. 91 + -91 + -92y = 45 + -91 Combine like terms: 91 + -91 = 0 0 + -92y = 45 + -91 -92y = 45 + -91 Combine like terms: 45 + -91 = -46 -92y = -46 Divide each side by '-92'. y = 0.5 Simplifying y = 0.5
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