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Simplifying y = (x2 + 5)(x + 3)(2x3 + 6) Reorder the terms: y = (5 + x2)(x + 3)(2x3 + 6) Reorder the terms: y = (5 + x2)(3 + x)(2x3 + 6) Reorder the terms: y = (5 + x2)(3 + x)(6 + 2x3) Multiply (5 + x2) * (3 + x) y = (5(3 + x) + x2(3 + x))(6 + 2x3) y = ((3 * 5 + x * 5) + x2(3 + x))(6 + 2x3) y = ((15 + 5x) + x2(3 + x))(6 + 2x3) y = (15 + 5x + (3 * x2 + x * x2))(6 + 2x3) y = (15 + 5x + (3x2 + x3))(6 + 2x3) y = (15 + 5x + 3x2 + x3)(6 + 2x3) Multiply (15 + 5x + 3x2 + x3) * (6 + 2x3) y = (15(6 + 2x3) + 5x * (6 + 2x3) + 3x2 * (6 + 2x3) + x3(6 + 2x3)) y = ((6 * 15 + 2x3 * 15) + 5x * (6 + 2x3) + 3x2 * (6 + 2x3) + x3(6 + 2x3)) y = ((90 + 30x3) + 5x * (6 + 2x3) + 3x2 * (6 + 2x3) + x3(6 + 2x3)) y = (90 + 30x3 + (6 * 5x + 2x3 * 5x) + 3x2 * (6 + 2x3) + x3(6 + 2x3)) y = (90 + 30x3 + (30x + 10x4) + 3x2 * (6 + 2x3) + x3(6 + 2x3)) y = (90 + 30x3 + 30x + 10x4 + (6 * 3x2 + 2x3 * 3x2) + x3(6 + 2x3)) y = (90 + 30x3 + 30x + 10x4 + (18x2 + 6x5) + x3(6 + 2x3)) y = (90 + 30x3 + 30x + 10x4 + 18x2 + 6x5 + (6 * x3 + 2x3 * x3)) y = (90 + 30x3 + 30x + 10x4 + 18x2 + 6x5 + (6x3 + 2x6)) Reorder the terms: y = (90 + 30x + 18x2 + 30x3 + 6x3 + 10x4 + 6x5 + 2x6) Combine like terms: 30x3 + 6x3 = 36x3 y = (90 + 30x + 18x2 + 36x3 + 10x4 + 6x5 + 2x6) Solving y = 90 + 30x + 18x2 + 36x3 + 10x4 + 6x5 + 2x6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 90 + 30x + 18x2 + 36x3 + 10x4 + 6x5 + 2x6
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