To simplify a complex subtraction, I can distribute the negative sign and combine the like terms. That is, $(-3-2i)-(1+4i)=-3-2i-1-4i$. Now I can add the real parts and the imaginary parts separately. The real parts are $-3-1=-4$. The imaginary parts are $-2i-4i=-6i$. So the simplified expression is $-4-6i$. 
Simplify $(-3-2i)-(1+4i)$.