-2(q-20)=1/2(4-8q)

Solution for -2(q-20)=1/2(4-8q) equation:

-2(q-20)=1/2(4-8q)

We simplify the equation to the form, which is simple to understand 
-2(q-20)=1/2(4-8q)

Simplifying:
-2*(q-20)=0.5*(4-8q)

Reorder the terms in parentheses
+(-2q+40)=0.5*(4-8q)

Remove unnecessary parentheses
-2q+40=0.5+*(+4-8q+)

Reorder the terms in parentheses
-2q+40=+(+2-4q)

Remove unnecessary parentheses
-2q+40=+2-4q

We move all terms containing q to the left and all other terms to the right. 
-2q+4q=+2-40

We simplify left and right side of the equation. 
+2q=-38

We divide both sides of the equation by 2 to get q. 
q=-19