4:6a He also made ten basins for washing

He also made ten wash basins.
-or-
King Solomon also had 10 pans made, to be used for washing.

4:6b and placed five on the south side and five on the north.

He put five (5) of the wash basins on the south/right side. He put the other five (5) basins on the north/left side.

4:6c The parts of the burnt offering were rinsed in them,

They washed the things for the burnt offerings in the pans.

4:6d but the priests used the Sea for washing.

The large Sea was for the priests/sacrificers to use for washing.
-or-
The priests/sacrificers used the water in the large basin for washing themselves.

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