Evaluate the expression y = sqrt(25) + sqrt(100) - sqrt(600) / sqrt(6).

Step 1: Evaluate each term in the expression.
The given expression is $y = \sqrt{25} + \sqrt{100} - \sqrt{600} \div \sqrt{6}$.

First, calculate the square roots:

$$\sqrt{25} = 5$$ $$\sqrt{100} = 10$$

Next, calculate the division term $\sqrt{600} \div \sqrt{6}$.
Using the property $\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$:

$$$$