x/3+y/2=-2/3 needs to be multiplied by 6 to remove the fractions: 2x+3y=-4.
From the first equation 3y=x+5, so put x+5 where 3y appears in the other equation: 2x+x+5=-4, 3x=-9, x=-3.
So 3y=x+5=-3+5=2 and y=2/3. Check by substituting these values in the original equations.