First, let's subtract the fractions within the parentheses:

-1 2/5 + (-3)
-1 2/5 is equivalent to -7/5
-7/5 + (-3) = -7/5 - 15/5 = -22/5

Now let's subtract the fractions within the next set of parentheses:

-2 5/6 + (-2/3)
-2 5/6 is equivalent to -17/6
-17/6 + (-2/3) = -17/6 - 4/6 = -21/6 = -7/2 = -3 1/2

Now we need to add the results together:

-22/5 + (-3 1/2)
To add these fractions, we need a common denominator, which is 10. So we convert -3 1/2 to -7/2.

-22/5 + (-7/2)
-22/5 is equivalent to -44/10
-44/10 + (-7/2)
-44/10 + (-35/10) = -79/10 = -7 9/10

Therefore, the final answer is -7 9/10.