The impossible equation

Number Theory Level 1

If \(\begin{cases} x= \underbrace{20082008200820082008...20082008}_{\text{2008 repeated 2018 times}} \\ y=\underbrace{20072007200720072007...20072007}_{\text{2007 repeated 2018 times}} \end{cases} \) then find the value of \(2007x-2008y\).