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