2(y-6)-y/2=3/2(y-8)

Solution for 2(y-6)-y/2=3/2(y-8) equation:

2(y-6)-y/2=3/2(y-8)

We simplify the equation to the form, which is simple to understand 
2(y-6)-y/2=3/2(y-8)

Reorder the terms in parentheses
+(+2y-12)-0.5y=+1.5*(y-8)

Remove unnecessary parentheses
+2y-12-0.5y=+1.5+*(+y-8+)

Reorder the terms in parentheses
+2y-12-0.5y=+(+1.5y-12)

Remove unnecessary parentheses
+2y-12-0.5y=+1.5y-12

We move all terms containing y to the left and all other terms to the right. 
+2y-0.5y-1.5y=-12+12

We simplify left and right side of the equation. 
y=0

0=0

This equation is an identity, so all real numbers are solutions.