Let's simplify the given expression step by step:

Simplify the fractions:
5/9 + 4/9 = 9/9 = 1
31/6 (4/19 + 15/38 - 75/76)
31/6 (8/38 + 15/38 - 75/76)

Add the fractions inside the parentheses:
31/6 (23/38 - 75/76)
31/6 ((232)/(382) - (752)/76)
31/6 (46/76 - 150/76)
31/6 * (-104/76)

Calculate the final result:
31/6 (-13/19)
(-3113)/(6*19)
-403/114

Therefore, the simplified result of the expression is -403/114.