$$7\frac{4}{7}y + \frac{5}{21}y - \frac{2}{3}y$$
$$\frac{7\cdot7+4}{7}y + \frac{5}{21}y - \frac{2}{3}y$$
$$\frac{53}{7}y + \frac{5}{21}y - \frac{2}{3}y$$
Приведем дроби к общему знаменателю 21:
$$\frac{53 \cdot 3}{7 \cdot 3}y + \frac{5}{21}y - \frac{2 \cdot 7}{3 \cdot 7}y$$
$$\frac{159}{21}y + \frac{5}{21}y - \frac{14}{21}y$$
$$\frac{159+5-14}{21}y$$
$$\frac{150}{21}y$$
$$\frac{50}{7}y$$
$$7\frac{1}{7}y$$
Ответ: $$7\frac{1}{7}y$$