Below are two snapshots of an example of (using) the DPark's 'Presentations' package approach to multiaxis scales on 2D graphics.

A) The initial position

A moved position and corresponding new scales for the different magnitudes involved in the picture, absolute and relatives. The dynamic changes are dynamicaly reflected in the scales as the sliders are moved leftward and rightward. The number and values of the scales can become complex and, so, difficult to present with the standard Mathematica approach. Compare the DPark's code with that for 'TwoAxisPlot' and keep in mind that these pieces of code are about pretty tiny examples.

This can be made easily with DPark's package.

The 'Presentations' extension to graphics programming should be a must for Mathematica, it makes much (more) simpler, by far, the task of producing complex dynamic graphics like this one.

If you're plotting functions with Plot, then you can use TwoAxisPlot defined here. If you are plotting lists using ListLinePlot, then use TwoAxisListPlot defined here

Those functions are a bit old, so I can't vouch that they work in modern MMA versions.... but if they fail, we could help with that