Given equation is
[tex]\frac{7}{5}v\text{ - 6 = -}\frac{1}{2}v\text{ - }\frac{1}{2}[/tex]The simple solution is to evaluate 'v' variables on the left side and constants on the other side.
[tex]\frac{7}{5}v\text{ +}\frac{1}{2}v\text{ = - }\frac{1}{2}\text{ + 6}[/tex][tex]\frac{14v\text{ + 5v}}{10}\text{ = }\frac{-1+12}{2}[/tex][tex]\frac{19v}{10}\text{ = }\frac{11}{2}[/tex][tex]19v\text{ = }\frac{11}{2}\cdot10[/tex][tex]19v\text{ = 55}[/tex][tex]v\text{ = }\frac{55}{19}[/tex]