y-5ln(y+3)=x-5ln(x+4)+c

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Solution for y-5ln(y+3)=x-5ln(x+4)+c equation: 


Simplifying
y + -5ln(y + 3) = x + -5ln(x + 4) + c

Reorder the terms:
y + -5ln(3 + y) = x + -5ln(x + 4) + c
y + (3 * -5ln + y * -5ln) = x + -5ln(x + 4) + c
y + (-15ln + -5lny) = x + -5ln(x + 4) + c

Reorder the terms:
-15ln + -5lny + y = x + -5ln(x + 4) + c

Reorder the terms:
-15ln + -5lny + y = x + -5ln(4 + x) + c
-15ln + -5lny + y = x + (4 * -5ln + x * -5ln) + c
-15ln + -5lny + y = x + (-20ln + -5lnx) + c

Reorder the terms:
-15ln + -5lny + y = c + -20ln + -5lnx + x

Solving
-15ln + -5lny + y = c + -20ln + -5lnx + x

Solving for variable 'l'.

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

Add '20ln' to each side of the equation.
-15ln + -5lny + 20ln + y = c + -20ln + -5lnx + 20ln + x

Reorder the terms:
-15ln + 20ln + -5lny + y = c + -20ln + -5lnx + 20ln + x

Combine like terms: -15ln + 20ln = 5ln
5ln + -5lny + y = c + -20ln + -5lnx + 20ln + x

Reorder the terms:
5ln + -5lny + y = c + -20ln + 20ln + -5lnx + x

Combine like terms: -20ln + 20ln = 0
5ln + -5lny + y = c + 0 + -5lnx + x
5ln + -5lny + y = c + -5lnx + x

Add '5lnx' to each side of the equation.
5ln + -5lny + 5lnx + y = c + -5lnx + 5lnx + x

Reorder the terms:
5ln + 5lnx + -5lny + y = c + -5lnx + 5lnx + x

Combine like terms: -5lnx + 5lnx = 0
5ln + 5lnx + -5lny + y = c + 0 + x
5ln + 5lnx + -5lny + y = c + x

Add '-1y' to each side of the equation.
5ln + 5lnx + -5lny + y + -1y = c + x + -1y

Combine like terms: y + -1y = 0
5ln + 5lnx + -5lny + 0 = c + x + -1y
5ln + 5lnx + -5lny = c + x + -1y

Reorder the terms:
-1c + 5ln + 5lnx + -5lny + -1x + y = c + x + -1y + -1c + -1x + y

Reorder the terms:
-1c + 5ln + 5lnx + -5lny + -1x + y = c + -1c + x + -1x + -1y + y

Combine like terms: c + -1c = 0
-1c + 5ln + 5lnx + -5lny + -1x + y = 0 + x + -1x + -1y + y
-1c + 5ln + 5lnx + -5lny + -1x + y = x + -1x + -1y + y

Combine like terms: x + -1x = 0
-1c + 5ln + 5lnx + -5lny + -1x + y = 0 + -1y + y
-1c + 5ln + 5lnx + -5lny + -1x + y = -1y + y

Combine like terms: -1y + y = 0
-1c + 5ln + 5lnx + -5lny + -1x + y = 0

The solution to this equation could not be determined.

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