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Simplifying y = ln[(x + 1)(2x + -1)] Reorder the terms: y = ln[(1 + x)(2x + -1)] Reorder the terms: y = ln[(1 + x)(-1 + 2x)] Multiply (1 + x) * (-1 + 2x) y = ln[(1(-1 + 2x) + x(-1 + 2x))] y = ln[((-1 * 1 + 2x * 1) + x(-1 + 2x))] y = ln[((-1 + 2x) + x(-1 + 2x))] y = ln[(-1 + 2x + (-1 * x + 2x * x))] y = ln[(-1 + 2x + (-1x + 2x2))] Combine like terms: 2x + -1x = 1x y = ln[(-1 + 1x + 2x2)] y = [-1 * ln + 1x * ln + 2x2 * ln] y = [-1ln + 1lnx + 2lnx2] Solving y = -1ln + 1lnx + 2lnx2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -1ln + 1lnx + 2lnx2
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