I want to create a graph with one Y axis, but have it placed on the right side of the graph.

Prism can create graphs with one or two Y axes.

The first axis created is called the 'left Y axis', but in fact it does not need to be placed on the left side of the graph. It can be anywhere. To put this  axis on the right side of a graph:

1. Double click on an axis to bring up Format Axis dialog
2. Go to the first tab, Frame and Origin.
   
3. Set the Origin to the lower right.
   

The axis will still be called the 'left' axis, and so its properties are set in the Left Y Axis tab of the Format Axes dialog. But it  is on the right side of the graph.