Ln(-3y-5)-ln(y+6)=(-5y-18)

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Solution for Ln(-3y-5)-ln(y+6)=(-5y-18) equation: 


Simplifying
Ln(-3y + -5) + -1ln(y + 6) = (-5y + -18)

Reorder the terms:
nL(-5 + -3y) + -1ln(y + 6) = (-5y + -18)
(-5 * nL + -3y * nL) + -1ln(y + 6) = (-5y + -18)
(-5nL + -3nyL) + -1ln(y + 6) = (-5y + -18)

Reorder the terms:
-5nL + -3nyL + -1ln(6 + y) = (-5y + -18)
-5nL + -3nyL + (6 * -1ln + y * -1ln) = (-5y + -18)
-5nL + -3nyL + (-6ln + -1lny) = (-5y + -18)

Reorder the terms:
-6ln + -1lny + -5nL + -3nyL = (-5y + -18)

Reorder the terms:
-6ln + -1lny + -5nL + -3nyL = (-18 + -5y)

Remove parenthesis around (-18 + -5y)
-6ln + -1lny + -5nL + -3nyL = -18 + -5y

Solving
-6ln + -1lny + -5nL + -3nyL = -18 + -5y

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '5nL' to each side of the equation.
-6ln + -1lny + -5nL + 5nL + -3nyL = -18 + 5nL + -5y

Combine like terms: -5nL + 5nL = 0
-6ln + -1lny + 0 + -3nyL = -18 + 5nL + -5y
-6ln + -1lny + -3nyL = -18 + 5nL + -5y

Add '3nyL' to each side of the equation.
-6ln + -1lny + -3nyL + 3nyL = -18 + 5nL + 3nyL + -5y

Combine like terms: -3nyL + 3nyL = 0
-6ln + -1lny + 0 = -18 + 5nL + 3nyL + -5y
-6ln + -1lny = -18 + 5nL + 3nyL + -5y

Reorder the terms:
18 + -6ln + -1lny + -5nL + -3nyL + 5y = -18 + 5nL + 3nyL + -5y + 18 + -5nL + -3nyL + 5y

Reorder the terms:
18 + -6ln + -1lny + -5nL + -3nyL + 5y = -18 + 18 + 5nL + -5nL + 3nyL + -3nyL + -5y + 5y

Combine like terms: -18 + 18 = 0
18 + -6ln + -1lny + -5nL + -3nyL + 5y = 0 + 5nL + -5nL + 3nyL + -3nyL + -5y + 5y
18 + -6ln + -1lny + -5nL + -3nyL + 5y = 5nL + -5nL + 3nyL + -3nyL + -5y + 5y

Combine like terms: 5nL + -5nL = 0
18 + -6ln + -1lny + -5nL + -3nyL + 5y = 0 + 3nyL + -3nyL + -5y + 5y
18 + -6ln + -1lny + -5nL + -3nyL + 5y = 3nyL + -3nyL + -5y + 5y

Combine like terms: 3nyL + -3nyL = 0
18 + -6ln + -1lny + -5nL + -3nyL + 5y = 0 + -5y + 5y
18 + -6ln + -1lny + -5nL + -3nyL + 5y = -5y + 5y

Combine like terms: -5y + 5y = 0
18 + -6ln + -1lny + -5nL + -3nyL + 5y = 0

The solution to this equation could not be determined.

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