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Simplifying 7y + 2 = 3ln(4x + -5) Reorder the terms: 2 + 7y = 3ln(4x + -5) Reorder the terms: 2 + 7y = 3ln(-5 + 4x) 2 + 7y = (-5 * 3ln + 4x * 3ln) 2 + 7y = (-15ln + 12lnx) Solving 2 + 7y = -15ln + 12lnx Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7y = -15ln + -2 + 12lnx Combine like terms: 2 + -2 = 0 0 + 7y = -15ln + -2 + 12lnx 7y = -15ln + -2 + 12lnx Reorder the terms: 7y = -2 + -15ln + 12lnx Divide each side by '7'. y = -0.2857142857 + -2.142857143ln + 1.714285714lnx Simplifying y = -0.2857142857 + -2.142857143ln + 1.714285714lnx
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