Line chart design to link the column panels in using trellis

I have a current dxp design as figure1 shows, and I want to remove the y-axis between column panels so that finally I can get the linked panels as figure2 shows.

I have tried changing the chart y-axis setting to single scale, of course the column panels are linked then, but the y-axis scale of each category will also be changed (now they are all in same scale).

Since the values of each category differs much, what I really want is to display them in different scale in order to clarify the visualization.

My desired final visualization will be exactly like the figure2 shows; that is, each category (cate1/2/3/4) showed in different y-axis scale, but the column panels also be linked.