Solve each of the following equation and also verify your solution:

$13(y-4)-3(y-9)-5(y+4)=0$

or $13 y-52-3 y+27-5 y-20=0$

or $5 y=45$

or $y=\frac{45}{5}=9$

Verification :

L.H.S. $=13(9-4)-3(9-9)-5(9+4)$

$=13 \times 5-3 \times 0-5 \times 13=0=$ R. H.S.