2/3(b-6)
is an expression with the variable b.
We can simplify the expression using the distributive properties of multiplication:
(2/3)(b-6)
= (2/3)b - (2/3)6
= (2/3)b - 4
If the expression was meant to be an equation, it would have been written with an equality sign, such as
2/3(b-6) = 0
In this case, we simplify the expression on the left hand side:
(2/3)b -4 = 0
Add four to each side to isolate the variable:
(2/3)b = 4
Multiply each side by (3/2) to transform the coefficient of b to 1
(3/2)(2/3)b = 4*(3/2)
b = 6
is the answer sought.