To simplify the expression, we need to first subtract the mixed numbers and then subtract the fractions.

8 11/23 - 5 37/59 = (8 - 5) + (11/23 - 37/59)
= 3 + (649/1417 - 851/1417)
= 3 + (-202/1417)
= 3 - 202/1417
= (3*1417 - 202)/1417
= (4251 - 202)/1417
= 4049/1417

Now, we need to subtract 4 22/59 from 4049/1417:

4049/1417 - 4 22/59 = 4049/1417 - (4 + 22/59)
= 4049/1417 - (459 + 22)/59
= 4049/1417 - (236 + 22)/59
= 4049/1417 - 258/59
= (404959 -2581417)/141759
= (238291 - 365286)/83663
= (-126995)/83663

Therefore, the final result is -126995/83663.