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Simplifying y = (4x2 + 3x + 8)(x2 + 6x + -8) Reorder the terms: y = (8 + 3x + 4x2)(x2 + 6x + -8) Reorder the terms: y = (8 + 3x + 4x2)(-8 + 6x + x2) Multiply (8 + 3x + 4x2) * (-8 + 6x + x2) y = (8(-8 + 6x + x2) + 3x * (-8 + 6x + x2) + 4x2 * (-8 + 6x + x2)) y = ((-8 * 8 + 6x * 8 + x2 * 8) + 3x * (-8 + 6x + x2) + 4x2 * (-8 + 6x + x2)) y = ((-64 + 48x + 8x2) + 3x * (-8 + 6x + x2) + 4x2 * (-8 + 6x + x2)) y = (-64 + 48x + 8x2 + (-8 * 3x + 6x * 3x + x2 * 3x) + 4x2 * (-8 + 6x + x2)) y = (-64 + 48x + 8x2 + (-24x + 18x2 + 3x3) + 4x2 * (-8 + 6x + x2)) y = (-64 + 48x + 8x2 + -24x + 18x2 + 3x3 + (-8 * 4x2 + 6x * 4x2 + x2 * 4x2)) y = (-64 + 48x + 8x2 + -24x + 18x2 + 3x3 + (-32x2 + 24x3 + 4x4)) Reorder the terms: y = (-64 + 48x + -24x + 8x2 + 18x2 + -32x2 + 3x3 + 24x3 + 4x4) Combine like terms: 48x + -24x = 24x y = (-64 + 24x + 8x2 + 18x2 + -32x2 + 3x3 + 24x3 + 4x4) Combine like terms: 8x2 + 18x2 = 26x2 y = (-64 + 24x + 26x2 + -32x2 + 3x3 + 24x3 + 4x4) Combine like terms: 26x2 + -32x2 = -6x2 y = (-64 + 24x + -6x2 + 3x3 + 24x3 + 4x4) Combine like terms: 3x3 + 24x3 = 27x3 y = (-64 + 24x + -6x2 + 27x3 + 4x4) Solving y = -64 + 24x + -6x2 + 27x3 + 4x4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -64 + 24x + -6x2 + 27x3 + 4x4
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