4. Решите уравнение 5 5/33+у=8 3/44

$$5\frac{5}{33}+y=8\frac{3}{44}$$

$$y = 8\frac{3}{44} - 5\frac{5}{33}$$

$$y = \frac{8 \cdot 44 + 3}{44} - \frac{5 \cdot 33 + 5}{33}$$

$$y = \frac{355}{44} - \frac{170}{33}$$

$$y = \frac{355 \cdot 3}{44 \cdot 3} - \frac{170 \cdot 4}{33 \cdot 4}$$

$$y = \frac{1065}{132} - \frac{680}{132}$$

$$y = \frac{1065-680}{132}$$

$$y = \frac{385}{132}$$

$$y = \frac{35 \cdot 11}{12 \cdot 11}$$

$$y = \frac{35}{12}$$

$$y = 2\frac{11}{12}$$

Ответ: $$y = 2\frac{11}{12}$$