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Simplifying 13(y + -3) + 2(8 + -2y) = 0 Reorder the terms: 13(-3 + y) + 2(8 + -2y) = 0 (-3 * 13 + y * 13) + 2(8 + -2y) = 0 (-39 + 13y) + 2(8 + -2y) = 0 -39 + 13y + (8 * 2 + -2y * 2) = 0 -39 + 13y + (16 + -4y) = 0 Reorder the terms: -39 + 16 + 13y + -4y = 0 Combine like terms: -39 + 16 = -23 -23 + 13y + -4y = 0 Combine like terms: 13y + -4y = 9y -23 + 9y = 0 Solving -23 + 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 9y = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 9y = 0 + 23 9y = 0 + 23 Combine like terms: 0 + 23 = 23 9y = 23 Divide each side by '9'. y = 2.555555556 Simplifying y = 2.555555556
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