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Simplifying 5(2y + -5) = 9(y + 4) Reorder the terms: 5(-5 + 2y) = 9(y + 4) (-5 * 5 + 2y * 5) = 9(y + 4) (-25 + 10y) = 9(y + 4) Reorder the terms: -25 + 10y = 9(4 + y) -25 + 10y = (4 * 9 + y * 9) -25 + 10y = (36 + 9y) Solving -25 + 10y = 36 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -25 + 10y + -9y = 36 + 9y + -9y Combine like terms: 10y + -9y = 1y -25 + 1y = 36 + 9y + -9y Combine like terms: 9y + -9y = 0 -25 + 1y = 36 + 0 -25 + 1y = 36 Add '25' to each side of the equation. -25 + 25 + 1y = 36 + 25 Combine like terms: -25 + 25 = 0 0 + 1y = 36 + 25 1y = 36 + 25 Combine like terms: 36 + 25 = 61 1y = 61 Divide each side by '1'. y = 61 Simplifying y = 61
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