Question

How do you solve this?

Solve for y:

a(y+c)=b(y+c)

Answer 1

by thinking. the only way for these to be equal is if
\[a=b\] in which case it is equal for any y.
if
\[a\neq b\] then the only way for this to work is if both sides are 0, i.e. if
\[y=-c\]