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Simplifying 9(y + -9) = -5y + 31 Reorder the terms: 9(-9 + y) = -5y + 31 (-9 * 9 + y * 9) = -5y + 31 (-81 + 9y) = -5y + 31 Reorder the terms: -81 + 9y = 31 + -5y Solving -81 + 9y = 31 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -81 + 9y + 5y = 31 + -5y + 5y Combine like terms: 9y + 5y = 14y -81 + 14y = 31 + -5y + 5y Combine like terms: -5y + 5y = 0 -81 + 14y = 31 + 0 -81 + 14y = 31 Add '81' to each side of the equation. -81 + 81 + 14y = 31 + 81 Combine like terms: -81 + 81 = 0 0 + 14y = 31 + 81 14y = 31 + 81 Combine like terms: 31 + 81 = 112 14y = 112 Divide each side by '14'. y = 8 Simplifying y = 8
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