Answer
$x^{2}y-5x-\frac{1}{2}$
Work Step by Step
We are given the polynomial $4x^{2}y+2x-3x^{2}y-\frac{1}{2}-7x$. We can simplify by combining like terms.
$(4x^{2}y-3x^{2}y)+(2x-7x)+(-\frac{1}{2})=(x^{2}y)+(-5x)-\frac{1}{2}=x^{2}y-5x-\frac{1}{2}$
