Senior Kangaroo 2019 Q16

The real numbers $x$ and $y$ satisfy the equations:

$xy-x=180$ and $y+xy=208$.

Let the two solutions be $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$.

What is the value of $x_1+10y_1+x_2+10y_2$