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Simplifying y = (x2 + -3x + 2)(2x + 4) Reorder the terms: y = (2 + -3x + x2)(2x + 4) Reorder the terms: y = (2 + -3x + x2)(4 + 2x) Multiply (2 + -3x + x2) * (4 + 2x) y = (2(4 + 2x) + -3x * (4 + 2x) + x2(4 + 2x)) y = ((4 * 2 + 2x * 2) + -3x * (4 + 2x) + x2(4 + 2x)) y = ((8 + 4x) + -3x * (4 + 2x) + x2(4 + 2x)) y = (8 + 4x + (4 * -3x + 2x * -3x) + x2(4 + 2x)) y = (8 + 4x + (-12x + -6x2) + x2(4 + 2x)) y = (8 + 4x + -12x + -6x2 + (4 * x2 + 2x * x2)) y = (8 + 4x + -12x + -6x2 + (4x2 + 2x3)) Combine like terms: 4x + -12x = -8x y = (8 + -8x + -6x2 + 4x2 + 2x3) Combine like terms: -6x2 + 4x2 = -2x2 y = (8 + -8x + -2x2 + 2x3) Solving y = 8 + -8x + -2x2 + 2x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 8 + -8x + -2x2 + 2x3
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