Answer :
[tex]9(2-4i)-6(x+yi)=14-3i\\
18-36i-6x-6yi=14-3i\\
-6x-6yi=-4+33i\\
-6x=-4 \wedge -6y=33\\
x=\dfrac{4}{6} \wedge y=-\dfrac{33}{6}\\
x=\dfrac{2}{3} \wedge y=-\dfrac{11}{2}\\\\
\boxed{x+yi=\dfrac{2}{3}-\dfrac{11}{2}i}[/tex]