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Simplifying 9(y + 2) = -5(y + -4) + -24 Reorder the terms: 9(2 + y) = -5(y + -4) + -24 (2 * 9 + y * 9) = -5(y + -4) + -24 (18 + 9y) = -5(y + -4) + -24 Reorder the terms: 18 + 9y = -5(-4 + y) + -24 18 + 9y = (-4 * -5 + y * -5) + -24 18 + 9y = (20 + -5y) + -24 Reorder the terms: 18 + 9y = 20 + -24 + -5y Combine like terms: 20 + -24 = -4 18 + 9y = -4 + -5y Solving 18 + 9y = -4 + -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. 18 + 9y + 5y = -4 + -5y + 5y Combine like terms: 9y + 5y = 14y 18 + 14y = -4 + -5y + 5y Combine like terms: -5y + 5y = 0 18 + 14y = -4 + 0 18 + 14y = -4 Add '-18' to each side of the equation. 18 + -18 + 14y = -4 + -18 Combine like terms: 18 + -18 = 0 0 + 14y = -4 + -18 14y = -4 + -18 Combine like terms: -4 + -18 = -22 14y = -22 Divide each side by '14'. y = -1.571428571 Simplifying y = -1.571428571
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