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Simplifying y = (-2x2 + 2x + 12)(-1x2 + x + 6) Reorder the terms: y = (12 + 2x + -2x2)(-1x2 + x + 6) Reorder the terms: y = (12 + 2x + -2x2)(6 + x + -1x2) Multiply (12 + 2x + -2x2) * (6 + x + -1x2) y = (12(6 + x + -1x2) + 2x * (6 + x + -1x2) + -2x2 * (6 + x + -1x2)) y = ((6 * 12 + x * 12 + -1x2 * 12) + 2x * (6 + x + -1x2) + -2x2 * (6 + x + -1x2)) y = ((72 + 12x + -12x2) + 2x * (6 + x + -1x2) + -2x2 * (6 + x + -1x2)) y = (72 + 12x + -12x2 + (6 * 2x + x * 2x + -1x2 * 2x) + -2x2 * (6 + x + -1x2)) y = (72 + 12x + -12x2 + (12x + 2x2 + -2x3) + -2x2 * (6 + x + -1x2)) y = (72 + 12x + -12x2 + 12x + 2x2 + -2x3 + (6 * -2x2 + x * -2x2 + -1x2 * -2x2)) y = (72 + 12x + -12x2 + 12x + 2x2 + -2x3 + (-12x2 + -2x3 + 2x4)) Reorder the terms: y = (72 + 12x + 12x + -12x2 + 2x2 + -12x2 + -2x3 + -2x3 + 2x4) Combine like terms: 12x + 12x = 24x y = (72 + 24x + -12x2 + 2x2 + -12x2 + -2x3 + -2x3 + 2x4) Combine like terms: -12x2 + 2x2 = -10x2 y = (72 + 24x + -10x2 + -12x2 + -2x3 + -2x3 + 2x4) Combine like terms: -10x2 + -12x2 = -22x2 y = (72 + 24x + -22x2 + -2x3 + -2x3 + 2x4) Combine like terms: -2x3 + -2x3 = -4x3 y = (72 + 24x + -22x2 + -4x3 + 2x4) Solving y = 72 + 24x + -22x2 + -4x3 + 2x4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 72 + 24x + -22x2 + -4x3 + 2x4
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