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Simplifying y = (0.0025s2 + 0.05s + 1)(0.2s3 + 0.13s2 + s) Reorder the terms: y = (1 + 0.05s + 0.0025s2)(0.2s3 + 0.13s2 + s) Reorder the terms: y = (1 + 0.05s + 0.0025s2)(s + 0.13s2 + 0.2s3) Multiply (1 + 0.05s + 0.0025s2) * (s + 0.13s2 + 0.2s3) y = (1(s + 0.13s2 + 0.2s3) + 0.05s * (s + 0.13s2 + 0.2s3) + 0.0025s2 * (s + 0.13s2 + 0.2s3)) y = ((s * 1 + 0.13s2 * 1 + 0.2s3 * 1) + 0.05s * (s + 0.13s2 + 0.2s3) + 0.0025s2 * (s + 0.13s2 + 0.2s3)) y = ((1s + 0.13s2 + 0.2s3) + 0.05s * (s + 0.13s2 + 0.2s3) + 0.0025s2 * (s + 0.13s2 + 0.2s3)) y = (1s + 0.13s2 + 0.2s3 + (s * 0.05s + 0.13s2 * 0.05s + 0.2s3 * 0.05s) + 0.0025s2 * (s + 0.13s2 + 0.2s3)) y = (1s + 0.13s2 + 0.2s3 + (0.05s2 + 0.0065s3 + 0.01s4) + 0.0025s2 * (s + 0.13s2 + 0.2s3)) y = (1s + 0.13s2 + 0.2s3 + 0.05s2 + 0.0065s3 + 0.01s4 + (s * 0.0025s2 + 0.13s2 * 0.0025s2 + 0.2s3 * 0.0025s2)) y = (1s + 0.13s2 + 0.2s3 + 0.05s2 + 0.0065s3 + 0.01s4 + (0.0025s3 + 0.000325s4 + 0.0005s5)) Reorder the terms: y = (1s + 0.13s2 + 0.05s2 + 0.2s3 + 0.0065s3 + 0.0025s3 + 0.01s4 + 0.000325s4 + 0.0005s5) Combine like terms: 0.13s2 + 0.05s2 = 0.18s2 y = (1s + 0.18s2 + 0.2s3 + 0.0065s3 + 0.0025s3 + 0.01s4 + 0.000325s4 + 0.0005s5) Combine like terms: 0.2s3 + 0.0065s3 = 0.2065s3 y = (1s + 0.18s2 + 0.2065s3 + 0.0025s3 + 0.01s4 + 0.000325s4 + 0.0005s5) Combine like terms: 0.2065s3 + 0.0025s3 = 0.209s3 y = (1s + 0.18s2 + 0.209s3 + 0.01s4 + 0.000325s4 + 0.0005s5) Combine like terms: 0.01s4 + 0.000325s4 = 0.010325s4 y = (1s + 0.18s2 + 0.209s3 + 0.010325s4 + 0.0005s5) Solving y = 1s + 0.18s2 + 0.209s3 + 0.010325s4 + 0.0005s5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 1s + 0.18s2 + 0.209s3 + 0.010325s4 + 0.0005s5
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