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Simplifying 5(2y + -2) = 9(y + 5) Reorder the terms: 5(-2 + 2y) = 9(y + 5) (-2 * 5 + 2y * 5) = 9(y + 5) (-10 + 10y) = 9(y + 5) Reorder the terms: -10 + 10y = 9(5 + y) -10 + 10y = (5 * 9 + y * 9) -10 + 10y = (45 + 9y) Solving -10 + 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. -10 + 10y + -9y = 45 + 9y + -9y Combine like terms: 10y + -9y = 1y -10 + 1y = 45 + 9y + -9y Combine like terms: 9y + -9y = 0 -10 + 1y = 45 + 0 -10 + 1y = 45 Add '10' to each side of the equation. -10 + 10 + 1y = 45 + 10 Combine like terms: -10 + 10 = 0 0 + 1y = 45 + 10 1y = 45 + 10 Combine like terms: 45 + 10 = 55 1y = 55 Divide each side by '1'. y = 55 Simplifying y = 55
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