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Blender Extrude Region and Move normal bug???
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Description

System Information
Operating system: Windows-10-10.0.19041-SP0 64 Bits
Graphics card: GeForce GTX 1070/PCIe/SSE2 NVIDIA Corporation 4.5.0 NVIDIA 452.06

Blender Version
Broken: version: 2.90.0, branch: master, commit date: 2020-08-31 11:26, hash: rB0330d1af29c0
Worked: NA

Short description of error
Using Extrude Region and Move tool makes the original mesh normal's flip, same issue all the way back to 2.79, missed bug or just a feature? :D

Exact steps for others to reproduce the error
Enable Face Orientation, get default cube, select all and extrude and move up and original mesh will be flipped.


Event Timeline

It creates the following shape, so the original/inner cube is flipped.

Thanks for the report, but this is not a bug,
This operator inverts the normal of the original faces when creating closed volumes.
Otherwise, if you extrude a simple plane for example, it would end with conflicting normals, or the resulting volume would have the normal pointing inward.
It is also not expected that this operator is used in a geometry like that.

The result shown by @Yevgeny Makarov (jenkm) is also a possibility for this operator.