Equations with fractions. Solve for y: y/2 + y/3 = 10

The equation provided is:

$$\frac{y}{2} + \frac{y}{3} = 10$$

The least common multiple of 2 and 3 is 6. Rewrite each fraction with a denominator of 6:

$$\frac{3y}{6} + \frac{2y}{6} = 10$$

$$\frac{3y + 2y}{6} = 10$$ $$\frac{5y}{6} = 10$$

Multiply both sides by 6:

$$5y = 10 \times 6$$ $$5y = 60$$

$$y = \frac{60}{5}$$ $$y = 12$$

The solution for $y$ is: