In order to simplify this expression, we need to multiply the number (-1/2) by the other term.
To do so, first we need to apply the distributive property:
[tex](-\frac{1}{2})\cdot(-2x+4y)=(-\frac{1}{2})\cdot(-2x)+(-\frac{1}{2})\cdot(4y)[/tex]Then, calculating the products separately, we have that:
[tex]\begin{gathered} (-\frac{1}{2})\cdot(-2x)=x \\ (-\frac{1}{2})\cdot(4y)=-2y \end{gathered}[/tex]So the equivalent expression is:
[tex](-\frac{1}{2})\cdot(-2x)+(-\frac{1}{2})\cdot(4y)=x-2y[/tex]The final expression is x - 2y