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Simplifying y = (x + 1)(0.1x + 1)(0.75x + 1) Reorder the terms: y = (1 + x)(0.1x + 1)(0.75x + 1) Reorder the terms: y = (1 + x)(1 + 0.1x)(0.75x + 1) Reorder the terms: y = (1 + x)(1 + 0.1x)(1 + 0.75x) Multiply (1 + x) * (1 + 0.1x) y = (1(1 + 0.1x) + x(1 + 0.1x))(1 + 0.75x) y = ((1 * 1 + 0.1x * 1) + x(1 + 0.1x))(1 + 0.75x) y = ((1 + 0.1x) + x(1 + 0.1x))(1 + 0.75x) y = (1 + 0.1x + (1 * x + 0.1x * x))(1 + 0.75x) y = (1 + 0.1x + (1x + 0.1x2))(1 + 0.75x) Combine like terms: 0.1x + 1x = 1.1x y = (1 + 1.1x + 0.1x2)(1 + 0.75x) Multiply (1 + 1.1x + 0.1x2) * (1 + 0.75x) y = (1(1 + 0.75x) + 1.1x * (1 + 0.75x) + 0.1x2 * (1 + 0.75x)) y = ((1 * 1 + 0.75x * 1) + 1.1x * (1 + 0.75x) + 0.1x2 * (1 + 0.75x)) y = ((1 + 0.75x) + 1.1x * (1 + 0.75x) + 0.1x2 * (1 + 0.75x)) y = (1 + 0.75x + (1 * 1.1x + 0.75x * 1.1x) + 0.1x2 * (1 + 0.75x)) y = (1 + 0.75x + (1.1x + 0.825x2) + 0.1x2 * (1 + 0.75x)) y = (1 + 0.75x + 1.1x + 0.825x2 + (1 * 0.1x2 + 0.75x * 0.1x2)) y = (1 + 0.75x + 1.1x + 0.825x2 + (0.1x2 + 0.075x3)) Combine like terms: 0.75x + 1.1x = 1.85x y = (1 + 1.85x + 0.825x2 + 0.1x2 + 0.075x3) Combine like terms: 0.825x2 + 0.1x2 = 0.925x2 y = (1 + 1.85x + 0.925x2 + 0.075x3) Solving y = 1 + 1.85x + 0.925x2 + 0.075x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 1 + 1.85x + 0.925x2 + 0.075x3
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