Left and right have specific meanings that unfortunately have been muddled over time.

The concept of left and right began in the french revolution when people were arguing inside a government building and they grouped up on the left and right sides of the room.

The people on the right wanted to maintain the existing socioeconomic hierarchy whereas the people on the left wanted to get rid of the hierarchy in favor of more equality.

So left means against hierarchy and right means pro-hierarchy. This is confusing because historically people like Vladimir Lenin were actually considered right wing because, even though he was a communist, his policies were very much pro-hierarchy.