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Simplifying y = 1 + (0.75x + 1)(0.1x + 1)(1x + 1) Reorder the terms: y = 1 + (1 + 0.75x)(0.1x + 1)(1x + 1) Reorder the terms: y = 1 + (1 + 0.75x)(1 + 0.1x)(1x + 1) Reorder the terms: y = 1 + (1 + 0.75x)(1 + 0.1x)(1 + 1x) Multiply (1 + 0.75x) * (1 + 0.1x) y = 1 + (1(1 + 0.1x) + 0.75x * (1 + 0.1x))(1 + 1x) y = 1 + ((1 * 1 + 0.1x * 1) + 0.75x * (1 + 0.1x))(1 + 1x) y = 1 + ((1 + 0.1x) + 0.75x * (1 + 0.1x))(1 + 1x) y = 1 + (1 + 0.1x + (1 * 0.75x + 0.1x * 0.75x))(1 + 1x) y = 1 + (1 + 0.1x + (0.75x + 0.075x2))(1 + 1x) Combine like terms: 0.1x + 0.75x = 0.85x y = 1 + (1 + 0.85x + 0.075x2)(1 + 1x) Multiply (1 + 0.85x + 0.075x2) * (1 + 1x) y = 1 + (1(1 + 1x) + 0.85x * (1 + 1x) + 0.075x2 * (1 + 1x)) y = 1 + ((1 * 1 + 1x * 1) + 0.85x * (1 + 1x) + 0.075x2 * (1 + 1x)) y = 1 + ((1 + 1x) + 0.85x * (1 + 1x) + 0.075x2 * (1 + 1x)) y = 1 + (1 + 1x + (1 * 0.85x + 1x * 0.85x) + 0.075x2 * (1 + 1x)) y = 1 + (1 + 1x + (0.85x + 0.85x2) + 0.075x2 * (1 + 1x)) y = 1 + (1 + 1x + 0.85x + 0.85x2 + (1 * 0.075x2 + 1x * 0.075x2)) y = 1 + (1 + 1x + 0.85x + 0.85x2 + (0.075x2 + 0.075x3)) Combine like terms: 1x + 0.85x = 1.85x y = 1 + (1 + 1.85x + 0.85x2 + 0.075x2 + 0.075x3) Combine like terms: 0.85x2 + 0.075x2 = 0.925x2 y = 1 + (1 + 1.85x + 0.925x2 + 0.075x3) Combine like terms: 1 + 1 = 2 y = 2 + 1.85x + 0.925x2 + 0.075x3 Solving y = 2 + 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 = 2 + 1.85x + 0.925x2 + 0.075x3
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