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Simplifying 12(5 + 2y) = 4y(6 + -9y) (5 * 12 + 2y * 12) = 4y(6 + -9y) (60 + 24y) = 4y(6 + -9y) 60 + 24y = (6 * 4y + -9y * 4y) 60 + 24y = (24y + -36y2) Add '-24y' to each side of the equation. 60 + 24y + -24y = 24y + -24y + -36y2 Combine like terms: 24y + -24y = 0 60 + 0 = 24y + -24y + -36y2 60 = 24y + -24y + -36y2 Combine like terms: 24y + -24y = 0 60 = 0 + -36y2 60 = -36y2 Solving 60 = -36y2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36y2' to each side of the equation. 60 + 36y2 = -36y2 + 36y2 Combine like terms: -36y2 + 36y2 = 0 60 + 36y2 = 0 Add '-60' to each side of the equation. 60 + -60 + 36y2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 36y2 = 0 + -60 36y2 = 0 + -60 Combine like terms: 0 + -60 = -60 36y2 = -60 Divide each side by '36'. y2 = -1.666666667 Simplifying y2 = -1.666666667 Reorder the terms: 1.666666667 + y2 = -1.666666667 + 1.666666667 Combine like terms: -1.666666667 + 1.666666667 = 0.000000000 1.666666667 + y2 = 0.000000000 The solution to this equation could not be determined.
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