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Simplifying y = (x + 5)(8x2 + 10x + -3) Reorder the terms: y = (5 + x)(8x2 + 10x + -3) Reorder the terms: y = (5 + x)(-3 + 10x + 8x2) Multiply (5 + x) * (-3 + 10x + 8x2) y = (5(-3 + 10x + 8x2) + x(-3 + 10x + 8x2)) y = ((-3 * 5 + 10x * 5 + 8x2 * 5) + x(-3 + 10x + 8x2)) y = ((-15 + 50x + 40x2) + x(-3 + 10x + 8x2)) y = (-15 + 50x + 40x2 + (-3 * x + 10x * x + 8x2 * x)) y = (-15 + 50x + 40x2 + (-3x + 10x2 + 8x3)) Reorder the terms: y = (-15 + 50x + -3x + 40x2 + 10x2 + 8x3) Combine like terms: 50x + -3x = 47x y = (-15 + 47x + 40x2 + 10x2 + 8x3) Combine like terms: 40x2 + 10x2 = 50x2 y = (-15 + 47x + 50x2 + 8x3) Solving y = -15 + 47x + 50x2 + 8x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -15 + 47x + 50x2 + 8x3
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