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Simplifying 30 = 9(270 + 45y) + -5y 30 = (270 * 9 + 45y * 9) + -5y 30 = (2430 + 405y) + -5y Combine like terms: 405y + -5y = 400y 30 = 2430 + 400y Solving 30 = 2430 + 400y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-400y' to each side of the equation. 30 + -400y = 2430 + 400y + -400y Combine like terms: 400y + -400y = 0 30 + -400y = 2430 + 0 30 + -400y = 2430 Add '-30' to each side of the equation. 30 + -30 + -400y = 2430 + -30 Combine like terms: 30 + -30 = 0 0 + -400y = 2430 + -30 -400y = 2430 + -30 Combine like terms: 2430 + -30 = 2400 -400y = 2400 Divide each side by '-400'. y = -6 Simplifying y = -6
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