First, let's simplify the expression inside the parentheses:

-2 1/5 = -11/5

Now substitute this into the expression:

(-4,4:(-11/5)-3.2)*5/6

Now simplify the expression inside the parentheses:

-11/5 - 3.2 = -11/5 - 16/5 = -27/5

Now substitute this back into the expression:

(-4,4:-27/5)*5/6

Now, multiply the fractions:

-4 * (-27/5) = 108/5

Now multiply by 5/6:

(108/5) * (5/6) = 108/6 = 18

Therefore, the final result is 18.