To solve the equation \( y \times \frac{1}{2} + y \times \frac{1}{3} + \frac{y}{6} = 2024 \), let's simplify and combine like terms step by step.

First, rewrite the equation for clarity:
\[ y \times \frac{1}{2} + y \times \frac{1}{3} + \frac{y}{6} = 2024 \]

Notice that \( y \times \frac{1}{2} \) is the same as \( \frac{y}{2} \), and \( y \times \frac{1}{3} \) is the same as \( \frac{y}{3} \).

So the equation becomes:
\[ \frac{y}{2} + \frac{y}{3} + \frac{y}{6} = 2024 \]

To combine these fractions, we need a common denominator. The least common multiple of 2, 3, and 6 is 6. Rewrite each term with a denominator of 6:
\[ \frac{3y}{6} + \frac{2y}{6} + \frac{y}{6} = 2024 \]

Now, combine the fractions:
\[ \frac{3y + 2y + y}{6} = 2024 \]
\[ \frac{6y}{6} = 2024 \]
\[ y = 2024 \]

So the solution to the equation is:
\[ y = 2024 \]