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Simplifying 5(2y + -3) = 9(y + 5) Reorder the terms: 5(-3 + 2y) = 9(y + 5) (-3 * 5 + 2y * 5) = 9(y + 5) (-15 + 10y) = 9(y + 5) Reorder the terms: -15 + 10y = 9(5 + y) -15 + 10y = (5 * 9 + y * 9) -15 + 10y = (45 + 9y) Solving -15 + 10y = 45 + 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. -15 + 10y + -9y = 45 + 9y + -9y Combine like terms: 10y + -9y = 1y -15 + 1y = 45 + 9y + -9y Combine like terms: 9y + -9y = 0 -15 + 1y = 45 + 0 -15 + 1y = 45 Add '15' to each side of the equation. -15 + 15 + 1y = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 1y = 45 + 15 1y = 45 + 15 Combine like terms: 45 + 15 = 60 1y = 60 Divide each side by '1'. y = 60 Simplifying y = 60
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