I need help with system of equations. I always get one right and one wrong

we have the system:
[tex]\begin{cases}4x+y=4 \\ -4x=y-4\end{cases}[/tex]Adding both equation we find that :
[tex]y=y[/tex]So, we have an infinity amount of solutions, we just need that:
[tex]x=\frac{-y}{4}+1[/tex]