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Simplifying y = (x + 0.2)(x + 0.6)(x + 0.8) Reorder the terms: y = (0.2 + x)(x + 0.6)(x + 0.8) Reorder the terms: y = (0.2 + x)(0.6 + x)(x + 0.8) Reorder the terms: y = (0.2 + x)(0.6 + x)(0.8 + x) Multiply (0.2 + x) * (0.6 + x) y = (0.2(0.6 + x) + x(0.6 + x))(0.8 + x) y = ((0.6 * 0.2 + x * 0.2) + x(0.6 + x))(0.8 + x) y = ((0.12 + 0.2x) + x(0.6 + x))(0.8 + x) y = (0.12 + 0.2x + (0.6 * x + x * x))(0.8 + x) y = (0.12 + 0.2x + (0.6x + x2))(0.8 + x) Combine like terms: 0.2x + 0.6x = 0.8x y = (0.12 + 0.8x + x2)(0.8 + x) Multiply (0.12 + 0.8x + x2) * (0.8 + x) y = (0.12(0.8 + x) + 0.8x * (0.8 + x) + x2(0.8 + x)) y = ((0.8 * 0.12 + x * 0.12) + 0.8x * (0.8 + x) + x2(0.8 + x)) y = ((0.096 + 0.12x) + 0.8x * (0.8 + x) + x2(0.8 + x)) y = (0.096 + 0.12x + (0.8 * 0.8x + x * 0.8x) + x2(0.8 + x)) y = (0.096 + 0.12x + (0.64x + 0.8x2) + x2(0.8 + x)) y = (0.096 + 0.12x + 0.64x + 0.8x2 + (0.8 * x2 + x * x2)) y = (0.096 + 0.12x + 0.64x + 0.8x2 + (0.8x2 + x3)) Combine like terms: 0.12x + 0.64x = 0.76x y = (0.096 + 0.76x + 0.8x2 + 0.8x2 + x3) Combine like terms: 0.8x2 + 0.8x2 = 1.6x2 y = (0.096 + 0.76x + 1.6x2 + x3) Solving y = 0.096 + 0.76x + 1.6x2 + x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 0.096 + 0.76x + 1.6x2 + x3
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