To solve the equation, first simplify the left side:

1/3(18b-12) + b = 6b - 4 + b
= 7b - 4

Now simplify the right side:

1/4 + 1/6 = 3/12 + 2/12
= 5/12

Now set the two sides of the equation equal to each other:

7b - 4 = 5/12

Add 4 to both sides:

7b = 5/12 + 4
7b = 53/12

Divide by 7:

b = 53/12 * 1/7
b = 53/84

Therefore, the solution to the equation is b = 53/84.