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Simplifying (1 + -1y)(3 + -1y)(6 + -1y) = 120 Multiply (1 + -1y) * (3 + -1y) (1(3 + -1y) + -1y * (3 + -1y))(6 + -1y) = 120 ((3 * 1 + -1y * 1) + -1y * (3 + -1y))(6 + -1y) = 120 ((3 + -1y) + -1y * (3 + -1y))(6 + -1y) = 120 (3 + -1y + (3 * -1y + -1y * -1y))(6 + -1y) = 120 (3 + -1y + (-3y + 1y2))(6 + -1y) = 120 Combine like terms: -1y + -3y = -4y (3 + -4y + 1y2)(6 + -1y) = 120 Multiply (3 + -4y + 1y2) * (6 + -1y) (3(6 + -1y) + -4y * (6 + -1y) + 1y2 * (6 + -1y)) = 120 ((6 * 3 + -1y * 3) + -4y * (6 + -1y) + 1y2 * (6 + -1y)) = 120 ((18 + -3y) + -4y * (6 + -1y) + 1y2 * (6 + -1y)) = 120 (18 + -3y + (6 * -4y + -1y * -4y) + 1y2 * (6 + -1y)) = 120 (18 + -3y + (-24y + 4y2) + 1y2 * (6 + -1y)) = 120 (18 + -3y + -24y + 4y2 + (6 * 1y2 + -1y * 1y2)) = 120 (18 + -3y + -24y + 4y2 + (6y2 + -1y3)) = 120 Combine like terms: -3y + -24y = -27y (18 + -27y + 4y2 + 6y2 + -1y3) = 120 Combine like terms: 4y2 + 6y2 = 10y2 (18 + -27y + 10y2 + -1y3) = 120 Solving 18 + -27y + 10y2 + -1y3 = 120 Solving for variable 'y'. Reorder the terms: 18 + -120 + -27y + 10y2 + -1y3 = 120 + -120 Combine like terms: 18 + -120 = -102 -102 + -27y + 10y2 + -1y3 = 120 + -120 Combine like terms: 120 + -120 = 0 -102 + -27y + 10y2 + -1y3 = 0 The solution to this equation could not be determined.
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