How to draw the indifference curves for $u(x,y) = min(2x,y)+ y?$ 

I don't understand how we can plot it. I know that there's going to be minimum so I am familiar with the cusp shape of perfect complements. But this looks like a quasilinear utility function. So how can I systematically plot it?
https://www.desmos.com/calculator/m3yzlrz1rs

Here, as you can see when $2x&gt;y$, $U=y+y=2y$ (Right hand side to the line of kink of $2x=y$
and when $2x&lt;y$, $U=2x+y$
So, the Black curve denotes the utility function of 10 level of utility but you can draw for any with the kink line as $2x=y$.