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Simplifying y = (x2 + -1x + 5)(-1 + -8x) + (2 + -1x + -4x2)(2x + -1) Reorder the terms: y = (5 + -1x + x2)(-1 + -8x) + (2 + -1x + -4x2)(2x + -1) Multiply (5 + -1x + x2) * (-1 + -8x) y = (5(-1 + -8x) + -1x * (-1 + -8x) + x2(-1 + -8x)) + (2 + -1x + -4x2)(2x + -1) y = ((-1 * 5 + -8x * 5) + -1x * (-1 + -8x) + x2(-1 + -8x)) + (2 + -1x + -4x2)(2x + -1) y = ((-5 + -40x) + -1x * (-1 + -8x) + x2(-1 + -8x)) + (2 + -1x + -4x2)(2x + -1) y = (-5 + -40x + (-1 * -1x + -8x * -1x) + x2(-1 + -8x)) + (2 + -1x + -4x2)(2x + -1) y = (-5 + -40x + (1x + 8x2) + x2(-1 + -8x)) + (2 + -1x + -4x2)(2x + -1) y = (-5 + -40x + 1x + 8x2 + (-1 * x2 + -8x * x2)) + (2 + -1x + -4x2)(2x + -1) y = (-5 + -40x + 1x + 8x2 + (-1x2 + -8x3)) + (2 + -1x + -4x2)(2x + -1) Combine like terms: -40x + 1x = -39x y = (-5 + -39x + 8x2 + -1x2 + -8x3) + (2 + -1x + -4x2)(2x + -1) Combine like terms: 8x2 + -1x2 = 7x2 y = (-5 + -39x + 7x2 + -8x3) + (2 + -1x + -4x2)(2x + -1) Reorder the terms: y = -5 + -39x + 7x2 + -8x3 + (2 + -1x + -4x2)(-1 + 2x) Multiply (2 + -1x + -4x2) * (-1 + 2x) y = -5 + -39x + 7x2 + -8x3 + (2(-1 + 2x) + -1x * (-1 + 2x) + -4x2 * (-1 + 2x)) y = -5 + -39x + 7x2 + -8x3 + ((-1 * 2 + 2x * 2) + -1x * (-1 + 2x) + -4x2 * (-1 + 2x)) y = -5 + -39x + 7x2 + -8x3 + ((-2 + 4x) + -1x * (-1 + 2x) + -4x2 * (-1 + 2x)) y = -5 + -39x + 7x2 + -8x3 + (-2 + 4x + (-1 * -1x + 2x * -1x) + -4x2 * (-1 + 2x)) y = -5 + -39x + 7x2 + -8x3 + (-2 + 4x + (1x + -2x2) + -4x2 * (-1 + 2x)) y = -5 + -39x + 7x2 + -8x3 + (-2 + 4x + 1x + -2x2 + (-1 * -4x2 + 2x * -4x2)) y = -5 + -39x + 7x2 + -8x3 + (-2 + 4x + 1x + -2x2 + (4x2 + -8x3)) Combine like terms: 4x + 1x = 5x y = -5 + -39x + 7x2 + -8x3 + (-2 + 5x + -2x2 + 4x2 + -8x3) Combine like terms: -2x2 + 4x2 = 2x2 y = -5 + -39x + 7x2 + -8x3 + (-2 + 5x + 2x2 + -8x3) Reorder the terms: y = -5 + -2 + -39x + 5x + 7x2 + 2x2 + -8x3 + -8x3 Combine like terms: -5 + -2 = -7 y = -7 + -39x + 5x + 7x2 + 2x2 + -8x3 + -8x3 Combine like terms: -39x + 5x = -34x y = -7 + -34x + 7x2 + 2x2 + -8x3 + -8x3 Combine like terms: 7x2 + 2x2 = 9x2 y = -7 + -34x + 9x2 + -8x3 + -8x3 Combine like terms: -8x3 + -8x3 = -16x3 y = -7 + -34x + 9x2 + -16x3 Solving y = -7 + -34x + 9x2 + -16x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -7 + -34x + 9x2 + -16x3
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