Interchanging selected rows and columns and plot a spaghetti plot of a R dataframe

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I have a R dataframe like this:

Year Country Car Bike Truck
2010 US 4342 5783 5849
2011 US 8292 4304 4839
2012 US 5839 5930 8483

I need to plot a spaghetti plot for all three types(car,bike,truck) for US. That is: Type as the legend. I understand that I need to interchange columns of Types to rows. But I am unable to do that with out interchanging Year.

In a nutshell, I think I need this kind of table to plot the spaghetti plot.

Year Type Country
2010 US XXXX
2010 US XXXX
2010 US XXXX
2011 US XXXX
2011 US XXXX
2011 US XXXX
2012 US XXXX
2012 US XXXX
2012 US XXXX

Please help!

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