...Not that I condone the the 3D line chart in you picture!! but Here you go. This is why Tableau generates you a dimension on Measure Names, and the Measure Values.
I've added the measure names to the filter, so I only show the ones you want. You can then use the measure names as a dimension, and measure values as your measures.
Hope this makes sense.
Multiple Line Chart.twbx 411.9 KB