Separate everything involving q from every thing NOT involving q:

[(a-c)/(b(2+vj))]- q/2- [vj]= [(a- c)/b]- (2+vi)q

Get everything involving q on the left side, everything not involving q on the right side:

-q/2- (2+vi)q= (a-c)b+ vj- (a-c)/(b(2+vj))

Factor q out on the left:

(-1/2- 2+vi)q= (a-c)b+ vj- (a-c)/(b(2+vj))

Divide both sides by -1/2- 2+ vi:

q= [(a-c)b+ vj-(a-c)/(b(2+vj))]/(-1/2- 2+ vi)