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Simplifying y = (2x2 + x + 4)(2x + -4) + -4 Reorder the terms: y = (4 + x + 2x2)(2x + -4) + -4 Reorder the terms: y = (4 + x + 2x2)(-4 + 2x) + -4 Multiply (4 + x + 2x2) * (-4 + 2x) y = (4(-4 + 2x) + x(-4 + 2x) + 2x2 * (-4 + 2x)) + -4 y = ((-4 * 4 + 2x * 4) + x(-4 + 2x) + 2x2 * (-4 + 2x)) + -4 y = ((-16 + 8x) + x(-4 + 2x) + 2x2 * (-4 + 2x)) + -4 y = (-16 + 8x + (-4 * x + 2x * x) + 2x2 * (-4 + 2x)) + -4 y = (-16 + 8x + (-4x + 2x2) + 2x2 * (-4 + 2x)) + -4 y = (-16 + 8x + -4x + 2x2 + (-4 * 2x2 + 2x * 2x2)) + -4 y = (-16 + 8x + -4x + 2x2 + (-8x2 + 4x3)) + -4 Combine like terms: 8x + -4x = 4x y = (-16 + 4x + 2x2 + -8x2 + 4x3) + -4 Combine like terms: 2x2 + -8x2 = -6x2 y = (-16 + 4x + -6x2 + 4x3) + -4 Reorder the terms: y = -16 + -4 + 4x + -6x2 + 4x3 Combine like terms: -16 + -4 = -20 y = -20 + 4x + -6x2 + 4x3 Solving y = -20 + 4x + -6x2 + 4x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -20 + 4x + -6x2 + 4x3
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