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Simplifying 2(9y + 18) + -9 = 9(6y + -10) Reorder the terms: 2(18 + 9y) + -9 = 9(6y + -10) (18 * 2 + 9y * 2) + -9 = 9(6y + -10) (36 + 18y) + -9 = 9(6y + -10) Reorder the terms: 36 + -9 + 18y = 9(6y + -10) Combine like terms: 36 + -9 = 27 27 + 18y = 9(6y + -10) Reorder the terms: 27 + 18y = 9(-10 + 6y) 27 + 18y = (-10 * 9 + 6y * 9) 27 + 18y = (-90 + 54y) Solving 27 + 18y = -90 + 54y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-54y' to each side of the equation. 27 + 18y + -54y = -90 + 54y + -54y Combine like terms: 18y + -54y = -36y 27 + -36y = -90 + 54y + -54y Combine like terms: 54y + -54y = 0 27 + -36y = -90 + 0 27 + -36y = -90 Add '-27' to each side of the equation. 27 + -27 + -36y = -90 + -27 Combine like terms: 27 + -27 = 0 0 + -36y = -90 + -27 -36y = -90 + -27 Combine like terms: -90 + -27 = -117 -36y = -117 Divide each side by '-36'. y = 3.25 Simplifying y = 3.25
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