For this case we have that the total of the balls is 86. We know there are 8 footballs then:
Basketball: Two more than twice the number of footballs are basketballs, that is:

There are 18 Basketballs.
Baseballs: Four less than 5 times the number of footballs are baseballs, that is:

There are 36 Baseballs.
Softballs: Six more than half of baseballs are softballs. That is to say:

There are 24 Softballs
If we add we must get 86.

ANswer:
There are 8 Footballs
There are 18 Basketballs.
There are 36 Baseballs.
There are 24 Softballs