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Simplifying 9(y + 2) + -5(2y + -5) = 43 Reorder the terms: 9(2 + y) + -5(2y + -5) = 43 (2 * 9 + y * 9) + -5(2y + -5) = 43 (18 + 9y) + -5(2y + -5) = 43 Reorder the terms: 18 + 9y + -5(-5 + 2y) = 43 18 + 9y + (-5 * -5 + 2y * -5) = 43 18 + 9y + (25 + -10y) = 43 Reorder the terms: 18 + 25 + 9y + -10y = 43 Combine like terms: 18 + 25 = 43 43 + 9y + -10y = 43 Combine like terms: 9y + -10y = -1y 43 + -1y = 43 Add '-43' to each side of the equation. 43 + -43 + -1y = 43 + -43 Combine like terms: 43 + -43 = 0 0 + -1y = 43 + -43 -1y = 43 + -43 Combine like terms: 43 + -43 = 0 -1y = 0 Solving -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '-1'. y = 0 Simplifying y = 0
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