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Simplifying y = (0.0025s2 + 0.05s + 1)(s2 + 0.8s + 30) + -0.011s Reorder the terms: y = (1 + 0.05s + 0.0025s2)(s2 + 0.8s + 30) + -0.011s Reorder the terms: y = (1 + 0.05s + 0.0025s2)(30 + 0.8s + s2) + -0.011s Multiply (1 + 0.05s + 0.0025s2) * (30 + 0.8s + s2) y = (1(30 + 0.8s + s2) + 0.05s * (30 + 0.8s + s2) + 0.0025s2 * (30 + 0.8s + s2)) + -0.011s y = ((30 * 1 + 0.8s * 1 + s2 * 1) + 0.05s * (30 + 0.8s + s2) + 0.0025s2 * (30 + 0.8s + s2)) + -0.011s y = ((30 + 0.8s + 1s2) + 0.05s * (30 + 0.8s + s2) + 0.0025s2 * (30 + 0.8s + s2)) + -0.011s y = (30 + 0.8s + 1s2 + (30 * 0.05s + 0.8s * 0.05s + s2 * 0.05s) + 0.0025s2 * (30 + 0.8s + s2)) + -0.011s y = (30 + 0.8s + 1s2 + (1.5s + 0.04s2 + 0.05s3) + 0.0025s2 * (30 + 0.8s + s2)) + -0.011s y = (30 + 0.8s + 1s2 + 1.5s + 0.04s2 + 0.05s3 + (30 * 0.0025s2 + 0.8s * 0.0025s2 + s2 * 0.0025s2)) + -0.011s y = (30 + 0.8s + 1s2 + 1.5s + 0.04s2 + 0.05s3 + (0.075s2 + 0.002s3 + 0.0025s4)) + -0.011s Reorder the terms: y = (30 + 0.8s + 1.5s + 1s2 + 0.04s2 + 0.075s2 + 0.05s3 + 0.002s3 + 0.0025s4) + -0.011s Combine like terms: 0.8s + 1.5s = 2.3s y = (30 + 2.3s + 1s2 + 0.04s2 + 0.075s2 + 0.05s3 + 0.002s3 + 0.0025s4) + -0.011s Combine like terms: 1s2 + 0.04s2 = 1.04s2 y = (30 + 2.3s + 1.04s2 + 0.075s2 + 0.05s3 + 0.002s3 + 0.0025s4) + -0.011s Combine like terms: 1.04s2 + 0.075s2 = 1.115s2 y = (30 + 2.3s + 1.115s2 + 0.05s3 + 0.002s3 + 0.0025s4) + -0.011s Combine like terms: 0.05s3 + 0.002s3 = 0.052s3 y = (30 + 2.3s + 1.115s2 + 0.052s3 + 0.0025s4) + -0.011s Reorder the terms: y = 30 + 2.3s + -0.011s + 1.115s2 + 0.052s3 + 0.0025s4 Combine like terms: 2.3s + -0.011s = 2.289s y = 30 + 2.289s + 1.115s2 + 0.052s3 + 0.0025s4 Solving y = 30 + 2.289s + 1.115s2 + 0.052s3 + 0.0025s4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 30 + 2.289s + 1.115s2 + 0.052s3 + 0.0025s4
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