VTMO 2026 - Grade 7 - Semifinal - SET 8 - Self-study Question 18

Integers $x,y,z$ satisfy $\frac{2020x-2019y}{2021}=\frac{2019z-2021x}{2020}=\frac{2021y-2020z}{2019}$. Find the smallest possible positive value of $y$.