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Simplifying 9(9 + y) = 5(y + -9) (9 * 9 + y * 9) = 5(y + -9) (81 + 9y) = 5(y + -9) Reorder the terms: 81 + 9y = 5(-9 + y) 81 + 9y = (-9 * 5 + y * 5) 81 + 9y = (-45 + 5y) Solving 81 + 9y = -45 + 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 = -45 + 5y + -5y Combine like terms: 9y + -5y = 4y 81 + 4y = -45 + 5y + -5y Combine like terms: 5y + -5y = 0 81 + 4y = -45 + 0 81 + 4y = -45 Add '-81' to each side of the equation. 81 + -81 + 4y = -45 + -81 Combine like terms: 81 + -81 = 0 0 + 4y = -45 + -81 4y = -45 + -81 Combine like terms: -45 + -81 = -126 4y = -126 Divide each side by '4'. y = -31.5 Simplifying y = -31.5
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