What the solution is to this 1/3 (b+6) = 1/4b+8

You want to solve for "b", right?

1/3 (b+6) = 1/4b+8 distribute 1/3 into the parenthesis

1/3 b + 1/3*6 = 1/4 b + 8

1/3 b + 2 = 1/4 b + 8 now combine like terms

1/3 b - 1/4 b = 8-2

1/12 b = 6 multiply both sides by 12

b = 12*6 = 72

Therefore: b = 72

Distribute on the left side

1/3b+2=1/4b+8

Multiply all terms by 12 to eliminate fractions

4b+24=3b+96

Subtract 3b from both sides

b+24=96

Subtract 24 from both sides

b=72

Final answer: b=72