What you need to do to solve this problem is by using the FOIL Method (First, Outside, Inside, and Last) Here are the steps into doing this problem.
Given Answer: (2y-5)(5y-7)
Next, you multiply by the order that has been given: 10y^2 + 14y -25y - 35
After you got the numbers and coefficients, you can combine like terms if necessary: 10y^2 - 11y - 35
Therefore, your answer should be 10y squared - 11y - 35.
I hope this helps. :)