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Simplifying y = ln(2x + 9) + -1ln(5x + -3) Reorder the terms: y = ln(9 + 2x) + -1ln(5x + -3) y = (9 * ln + 2x * ln) + -1ln(5x + -3) y = (9ln + 2lnx) + -1ln(5x + -3) Reorder the terms: y = 9ln + 2lnx + -1ln(-3 + 5x) y = 9ln + 2lnx + (-3 * -1ln + 5x * -1ln) y = 9ln + 2lnx + (3ln + -5lnx) Reorder the terms: y = 9ln + 3ln + 2lnx + -5lnx Combine like terms: 9ln + 3ln = 12ln y = 12ln + 2lnx + -5lnx Combine like terms: 2lnx + -5lnx = -3lnx y = 12ln + -3lnx Solving y = 12ln + -3lnx Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 12ln + -3lnx
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