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Simplifying 3(3y + 1) = 7(13 + -5y) Reorder the terms: 3(1 + 3y) = 7(13 + -5y) (1 * 3 + 3y * 3) = 7(13 + -5y) (3 + 9y) = 7(13 + -5y) 3 + 9y = (13 * 7 + -5y * 7) 3 + 9y = (91 + -35y) Solving 3 + 9y = 91 + -35y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '35y' to each side of the equation. 3 + 9y + 35y = 91 + -35y + 35y Combine like terms: 9y + 35y = 44y 3 + 44y = 91 + -35y + 35y Combine like terms: -35y + 35y = 0 3 + 44y = 91 + 0 3 + 44y = 91 Add '-3' to each side of the equation. 3 + -3 + 44y = 91 + -3 Combine like terms: 3 + -3 = 0 0 + 44y = 91 + -3 44y = 91 + -3 Combine like terms: 91 + -3 = 88 44y = 88 Divide each side by '44'. y = 2 Simplifying y = 2
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