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\frac{6+2}{3}-\frac{8}{9}\left(-\frac{5+3}{5}\right)
Multiply 2 and 3 to get 6.
\frac{8}{3}-\frac{8}{9}\left(-\frac{5+3}{5}\right)
Add 6 and 2 to get 8.
\frac{8}{3}-\frac{8}{9}\left(-\frac{8}{5}\right)
Add 5 and 3 to get 8.
\frac{8}{3}+\frac{-8\left(-8\right)}{9\times 5}
Multiply -\frac{8}{9} times -\frac{8}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{8}{3}+\frac{64}{45}
Do the multiplications in the fraction \frac{-8\left(-8\right)}{9\times 5}.
\frac{120}{45}+\frac{64}{45}
Least common multiple of 3 and 45 is 45. Convert \frac{8}{3} and \frac{64}{45} to fractions with denominator 45.
\frac{120+64}{45}
Since \frac{120}{45} and \frac{64}{45} have the same denominator, add them by adding their numerators.
\frac{184}{45}
Add 120 and 64 to get 184.