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Simplifying y = (x2 + 2x + -8)(x + -6) Reorder the terms: y = (-8 + 2x + x2)(x + -6) Reorder the terms: y = (-8 + 2x + x2)(-6 + x) Multiply (-8 + 2x + x2) * (-6 + x) y = (-8(-6 + x) + 2x * (-6 + x) + x2(-6 + x)) y = ((-6 * -8 + x * -8) + 2x * (-6 + x) + x2(-6 + x)) y = ((48 + -8x) + 2x * (-6 + x) + x2(-6 + x)) y = (48 + -8x + (-6 * 2x + x * 2x) + x2(-6 + x)) y = (48 + -8x + (-12x + 2x2) + x2(-6 + x)) y = (48 + -8x + -12x + 2x2 + (-6 * x2 + x * x2)) y = (48 + -8x + -12x + 2x2 + (-6x2 + x3)) Combine like terms: -8x + -12x = -20x y = (48 + -20x + 2x2 + -6x2 + x3) Combine like terms: 2x2 + -6x2 = -4x2 y = (48 + -20x + -4x2 + x3) Solving y = 48 + -20x + -4x2 + x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 48 + -20x + -4x2 + x3
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