Решение:
$$5 \frac{5}{33} + y = 8 \frac{3}{44}$$
$$y = 8 \frac{3}{44} - 5 \frac{5}{33}$$
$$y = 8 \frac{9}{132} - 5 \frac{20}{132}$$
$$y = 3 \frac{9}{132} - \frac{20}{132}$$
$$y = 2 + 1 \frac{9}{132} - \frac{20}{132}$$
$$y = 2 + \frac{141}{132} - \frac{20}{132}$$
$$y = 2 \frac{121}{132}$$
$$y = 2 \frac{11}{12}$$
Ответ: $$y = 2 \frac{11}{12}$$.