What is 9b minus 3 over 9 equals 5b plus 5 over 3

You reduce the fraction which would be 9b-1/3=5b+ 5/3
Then you move the variable to the left side and change its sign 9b-5b-1/3=5/3 then move the constant to the right side 9b-5b=5/3+1/3
Then collect the terms 4b= 5/3 + 1/3 add the fractions 4b = 2
Divide both sides of the equation which is b= 1/2