Step 1 :Multiply each term in the first expression by each term in the second expression using the distributive property: \((2 \sqrt{y}+4)(\sqrt{y}-5)\)
Step 2 :Simplify the resulting expression by combining like terms and simplifying any radical expressions: \(-6\sqrt{y} + 2y - 20\)
Step 3 :Final Answer: \(\boxed{-6\sqrt{y} + 2y - 20}\)