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Simplifying 12(5y + 27) = 4y + -1(6 + -9y) Reorder the terms: 12(27 + 5y) = 4y + -1(6 + -9y) (27 * 12 + 5y * 12) = 4y + -1(6 + -9y) (324 + 60y) = 4y + -1(6 + -9y) 324 + 60y = 4y + (6 * -1 + -9y * -1) 324 + 60y = 4y + (-6 + 9y) Reorder the terms: 324 + 60y = -6 + 4y + 9y Combine like terms: 4y + 9y = 13y 324 + 60y = -6 + 13y Solving 324 + 60y = -6 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 324 + 60y + -13y = -6 + 13y + -13y Combine like terms: 60y + -13y = 47y 324 + 47y = -6 + 13y + -13y Combine like terms: 13y + -13y = 0 324 + 47y = -6 + 0 324 + 47y = -6 Add '-324' to each side of the equation. 324 + -324 + 47y = -6 + -324 Combine like terms: 324 + -324 = 0 0 + 47y = -6 + -324 47y = -6 + -324 Combine like terms: -6 + -324 = -330 47y = -330 Divide each side by '47'. y = -7.021276596 Simplifying y = -7.021276596
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