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Simplifying y = (4x + -1) * ln(5x + -1) Reorder the terms: y = (-1 + 4x) * ln(5x + -1) Reorder the terms: y = (-1 + 4x) * ln(-1 + 5x) Reorder the terms for easier multiplication: y = ln(-1 + 4x)(-1 + 5x) Multiply (-1 + 4x) * (-1 + 5x) y = ln(-1(-1 + 5x) + 4x * (-1 + 5x)) y = ln((-1 * -1 + 5x * -1) + 4x * (-1 + 5x)) y = ln((1 + -5x) + 4x * (-1 + 5x)) y = ln(1 + -5x + (-1 * 4x + 5x * 4x)) y = ln(1 + -5x + (-4x + 20x2)) Combine like terms: -5x + -4x = -9x y = ln(1 + -9x + 20x2) y = (1 * ln + -9x * ln + 20x2 * ln) y = (1ln + -9lnx + 20lnx2) Solving y = 1ln + -9lnx + 20lnx2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 1ln + -9lnx + 20lnx2
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