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Simplifying 9(y + -9) = 5y + -45 Reorder the terms: 9(-9 + y) = 5y + -45 (-9 * 9 + y * 9) = 5y + -45 (-81 + 9y) = 5y + -45 Reorder the terms: -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 = 36 4y = 36 Divide each side by '4'. y = 9 Simplifying y = 9
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