Solve for the Indicated Variable $\log _ { c } ( z + y ) = \log _ { c } ( 2 z - 4 )$

Multiple Choice

Solve for the indicated variable.
- $\log _ { c } ( z + y ) = \log _ { c } ( 2 z - 4 )$ , for $y$

A) $y = \frac { \log _ { \mathrm { c } } \mathrm { z } } { 4 }$
B) $y = \log _ { c } ( z - 4 )$
C) $y = z - 4$
D) $y = \frac { z } { 4 }$