This Tut Show How to Install and Getting-Started with the Latest Eclipse 2023-03 R IDE JEE for Linux 13 Maya Mate Desktop.
There is the Possibility also to Install the Eclipse Platform via apt-get But the Ubuntu 12 Precise apt Repositories from which Linux Mint 13 Maya Depends are still Back to Eclipse 3.7 Indigo.
So at the Moment if you want Install the Latest Eclipse 2023-03 R Build on Linux Mint Maya 13 you will Need to Download and Install Eclipse 2023-03 R JEE Release for Linux.
The contents give Focus only to the Essential Instructions and Commands so to make the Tut easier to understand ;)

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Download Eclipse 2023-03 R IDE JEE:
Eclipse 2023-03 R IDE JEE 32bit