How to plot a line chart with multiple "Y" axis variables of different units?

I have a dataset with multiple variables all correlated to time. I am interested in plotting these variables on Y axis and time on the X axis. I have seen so many posts that talk about using secondary axis in Excel. But I have about a dozen. I tried creating the chart in plot.ly. You can see it here. But it looks like I cannot update it dynamically.

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