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Simplifying 9(4y(33.75) + -3) + -12(33.75) = 4(27 + 25(33.75)) Reorder the terms for easier multiplication: 9(4 * 33.75y + -3) + -12(33.75) = 4(27 + 25(33.75)) Multiply 4 * 33.75 9(135y + -3) + -12(33.75) = 4(27 + 25(33.75)) Reorder the terms: 9(-3 + 135y) + -12(33.75) = 4(27 + 25(33.75)) (-3 * 9 + 135y * 9) + -12(33.75) = 4(27 + 25(33.75)) (-27 + 1215y) + -12(33.75) = 4(27 + 25(33.75)) Multiply -12 * 33.75 -27 + 1215y + -405 = 4(27 + 25(33.75)) Reorder the terms: -27 + -405 + 1215y = 4(27 + 25(33.75)) Combine like terms: -27 + -405 = -432 -432 + 1215y = 4(27 + 25(33.75)) Multiply 25 * 33.75 -432 + 1215y = 4(27 + 843.75) Combine like terms: 27 + 843.75 = 870.75 -432 + 1215y = 4(870.75) Multiply 4 * 870.75 -432 + 1215y = 3483 Solving -432 + 1215y = 3483 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '432' to each side of the equation. -432 + 432 + 1215y = 3483 + 432 Combine like terms: -432 + 432 = 0 0 + 1215y = 3483 + 432 1215y = 3483 + 432 Combine like terms: 3483 + 432 = 3915 1215y = 3915 Divide each side by '1215'. y = 3.222222222 Simplifying y = 3.222222222
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