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Simplifying (2y + -1)(2y + -1)(2y + -1) = 8 Reorder the terms: (-1 + 2y)(2y + -1)(2y + -1) = 8 Reorder the terms: (-1 + 2y)(-1 + 2y)(2y + -1) = 8 Reorder the terms: (-1 + 2y)(-1 + 2y)(-1 + 2y) = 8 Multiply (-1 + 2y) * (-1 + 2y) (-1(-1 + 2y) + 2y * (-1 + 2y))(-1 + 2y) = 8 ((-1 * -1 + 2y * -1) + 2y * (-1 + 2y))(-1 + 2y) = 8 ((1 + -2y) + 2y * (-1 + 2y))(-1 + 2y) = 8 (1 + -2y + (-1 * 2y + 2y * 2y))(-1 + 2y) = 8 (1 + -2y + (-2y + 4y2))(-1 + 2y) = 8 Combine like terms: -2y + -2y = -4y (1 + -4y + 4y2)(-1 + 2y) = 8 Multiply (1 + -4y + 4y2) * (-1 + 2y) (1(-1 + 2y) + -4y * (-1 + 2y) + 4y2 * (-1 + 2y)) = 8 ((-1 * 1 + 2y * 1) + -4y * (-1 + 2y) + 4y2 * (-1 + 2y)) = 8 ((-1 + 2y) + -4y * (-1 + 2y) + 4y2 * (-1 + 2y)) = 8 (-1 + 2y + (-1 * -4y + 2y * -4y) + 4y2 * (-1 + 2y)) = 8 (-1 + 2y + (4y + -8y2) + 4y2 * (-1 + 2y)) = 8 (-1 + 2y + 4y + -8y2 + (-1 * 4y2 + 2y * 4y2)) = 8 (-1 + 2y + 4y + -8y2 + (-4y2 + 8y3)) = 8 Combine like terms: 2y + 4y = 6y (-1 + 6y + -8y2 + -4y2 + 8y3) = 8 Combine like terms: -8y2 + -4y2 = -12y2 (-1 + 6y + -12y2 + 8y3) = 8 Solving -1 + 6y + -12y2 + 8y3 = 8 Solving for variable 'y'. Reorder the terms: -1 + -8 + 6y + -12y2 + 8y3 = 8 + -8 Combine like terms: -1 + -8 = -9 -9 + 6y + -12y2 + 8y3 = 8 + -8 Combine like terms: 8 + -8 = 0 -9 + 6y + -12y2 + 8y3 = 0 The solution to this equation could not be determined.
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