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Simplifying 400 = 9y + -5 + -9(5y + -9) Reorder the terms: 400 = 9y + -5 + -9(-9 + 5y) 400 = 9y + -5 + (-9 * -9 + 5y * -9) 400 = 9y + -5 + (81 + -45y) Reorder the terms: 400 = -5 + 81 + 9y + -45y Combine like terms: -5 + 81 = 76 400 = 76 + 9y + -45y Combine like terms: 9y + -45y = -36y 400 = 76 + -36y Solving 400 = 76 + -36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36y' to each side of the equation. 400 + 36y = 76 + -36y + 36y Combine like terms: -36y + 36y = 0 400 + 36y = 76 + 0 400 + 36y = 76 Add '-400' to each side of the equation. 400 + -400 + 36y = 76 + -400 Combine like terms: 400 + -400 = 0 0 + 36y = 76 + -400 36y = 76 + -400 Combine like terms: 76 + -400 = -324 36y = -324 Divide each side by '36'. y = -9 Simplifying y = -9
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