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Simplifying y = (3x + 7) * ln(2x + -1) Reorder the terms: y = (7 + 3x) * ln(2x + -1) Reorder the terms: y = (7 + 3x) * ln(-1 + 2x) Reorder the terms for easier multiplication: y = ln(7 + 3x)(-1 + 2x) Multiply (7 + 3x) * (-1 + 2x) y = ln(7(-1 + 2x) + 3x * (-1 + 2x)) y = ln((-1 * 7 + 2x * 7) + 3x * (-1 + 2x)) y = ln((-7 + 14x) + 3x * (-1 + 2x)) y = ln(-7 + 14x + (-1 * 3x + 2x * 3x)) y = ln(-7 + 14x + (-3x + 6x2)) Combine like terms: 14x + -3x = 11x y = ln(-7 + 11x + 6x2) y = (-7 * ln + 11x * ln + 6x2 * ln) y = (-7ln + 11lnx + 6lnx2) Solving y = -7ln + 11lnx + 6lnx2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -7ln + 11lnx + 6lnx2
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