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Simplifying y = (x + 2)(x + 1)(3x + -4) Reorder the terms: y = (2 + x)(x + 1)(3x + -4) Reorder the terms: y = (2 + x)(1 + x)(3x + -4) Reorder the terms: y = (2 + x)(1 + x)(-4 + 3x) Multiply (2 + x) * (1 + x) y = (2(1 + x) + x(1 + x))(-4 + 3x) y = ((1 * 2 + x * 2) + x(1 + x))(-4 + 3x) y = ((2 + 2x) + x(1 + x))(-4 + 3x) y = (2 + 2x + (1 * x + x * x))(-4 + 3x) y = (2 + 2x + (1x + x2))(-4 + 3x) Combine like terms: 2x + 1x = 3x y = (2 + 3x + x2)(-4 + 3x) Multiply (2 + 3x + x2) * (-4 + 3x) y = (2(-4 + 3x) + 3x * (-4 + 3x) + x2(-4 + 3x)) y = ((-4 * 2 + 3x * 2) + 3x * (-4 + 3x) + x2(-4 + 3x)) y = ((-8 + 6x) + 3x * (-4 + 3x) + x2(-4 + 3x)) y = (-8 + 6x + (-4 * 3x + 3x * 3x) + x2(-4 + 3x)) y = (-8 + 6x + (-12x + 9x2) + x2(-4 + 3x)) y = (-8 + 6x + -12x + 9x2 + (-4 * x2 + 3x * x2)) y = (-8 + 6x + -12x + 9x2 + (-4x2 + 3x3)) Combine like terms: 6x + -12x = -6x y = (-8 + -6x + 9x2 + -4x2 + 3x3) Combine like terms: 9x2 + -4x2 = 5x2 y = (-8 + -6x + 5x2 + 3x3) Solving y = -8 + -6x + 5x2 + 3x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -8 + -6x + 5x2 + 3x3
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