The equation is
.
Apply quotient property logarithm:
.

Apply Property of equality for logarithmic functions
.

(Multiply each side by y + 5) \ \

Subtract 40 from each side.
\

Divide each side by 8.
\

CHECK:-
\To check the solution, Substitute
in
.


Apply quotient property logarithm:
.


Apply Property of equality for logarithmic functions
.

The solution is true.
The solution is
.