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Simplifying y = (x2 + 2x + -7)(x3 + 4x2 + -21x) Reorder the terms: y = (-7 + 2x + x2)(x3 + 4x2 + -21x) Reorder the terms: y = (-7 + 2x + x2)(-21x + 4x2 + x3) Multiply (-7 + 2x + x2) * (-21x + 4x2 + x3) y = (-7(-21x + 4x2 + x3) + 2x * (-21x + 4x2 + x3) + x2(-21x + 4x2 + x3)) y = ((-21x * -7 + 4x2 * -7 + x3 * -7) + 2x * (-21x + 4x2 + x3) + x2(-21x + 4x2 + x3)) y = ((147x + -28x2 + -7x3) + 2x * (-21x + 4x2 + x3) + x2(-21x + 4x2 + x3)) y = (147x + -28x2 + -7x3 + (-21x * 2x + 4x2 * 2x + x3 * 2x) + x2(-21x + 4x2 + x3)) y = (147x + -28x2 + -7x3 + (-42x2 + 8x3 + 2x4) + x2(-21x + 4x2 + x3)) y = (147x + -28x2 + -7x3 + -42x2 + 8x3 + 2x4 + (-21x * x2 + 4x2 * x2 + x3 * x2)) y = (147x + -28x2 + -7x3 + -42x2 + 8x3 + 2x4 + (-21x3 + 4x4 + x5)) Reorder the terms: y = (147x + -28x2 + -42x2 + -7x3 + 8x3 + -21x3 + 2x4 + 4x4 + x5) Combine like terms: -28x2 + -42x2 = -70x2 y = (147x + -70x2 + -7x3 + 8x3 + -21x3 + 2x4 + 4x4 + x5) Combine like terms: -7x3 + 8x3 = 1x3 y = (147x + -70x2 + 1x3 + -21x3 + 2x4 + 4x4 + x5) Combine like terms: 1x3 + -21x3 = -20x3 y = (147x + -70x2 + -20x3 + 2x4 + 4x4 + x5) Combine like terms: 2x4 + 4x4 = 6x4 y = (147x + -70x2 + -20x3 + 6x4 + x5) Solving y = 147x + -70x2 + -20x3 + 6x4 + x5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 147x + -70x2 + -20x3 + 6x4 + x5
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