This isn't 'Right vs Left'

Right political ideology says the class that owns and controls your workplace, land, and government, billionaires, should own and control your workplace, house, and government.

Left political ideology says we should control our workplace, land, and government.

It goes back to the French revolution where the people who sat on the left of the parliament opposed the ruling class, in that case the feudal aristocracy, while the people who supported the ruling class sat on the right of the parliament. Even after the aristocracy was gone, people started to use the term left to refer to people who oppose the ruling class of capitalist society (wealthy capital oligarchs) where as the right is those who support them.