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Simplifying 5(y + -9) = -9y + 39 Reorder the terms: 5(-9 + y) = -9y + 39 (-9 * 5 + y * 5) = -9y + 39 (-45 + 5y) = -9y + 39 Reorder the terms: -45 + 5y = 39 + -9y Solving -45 + 5y = 39 + -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. -45 + 5y + 9y = 39 + -9y + 9y Combine like terms: 5y + 9y = 14y -45 + 14y = 39 + -9y + 9y Combine like terms: -9y + 9y = 0 -45 + 14y = 39 + 0 -45 + 14y = 39 Add '45' to each side of the equation. -45 + 45 + 14y = 39 + 45 Combine like terms: -45 + 45 = 0 0 + 14y = 39 + 45 14y = 39 + 45 Combine like terms: 39 + 45 = 84 14y = 84 Divide each side by '14'. y = 6 Simplifying y = 6
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