빌리다(bil-ri-da, bilrida)
To receive and use something or money from someone (to borrow)
When to use
Borrowing a book from a friend, Borrowing money, Borrowing a tool
The nuance
Use 빌리다 when you are the borrower who receives something from someone else, typically when you request or need something.
빌려주다(bil-ryeo-ju-da, bilryeojuda)
To give something or money to someone so they can use it (to lend)
When to use
Lending a book to a friend, Lending money, Lending a tool
The nuance
Use 빌려주다 when you are the lender who gives something to someone else because they need it.