Multiplying both sides of this eq'n by 2 will eliminate the fractions and thus simplify the problem. The left side becomes 3g-2 and the right side becomes g. Thus, you have 3g-2 = g.
Subtract g from both sides: 2g-2=0. Add 2 to both sides: 2g=2.
Divide both sides by 2: g = 1 (answer).