The steps you want me to explain are those I consider the most probable of all the pathway.
The former is the opening of oxacyclopropane in acid. I think the product I drew is the most common because of steric hindrance.
The latter is taken from the synthesis of methacycline and hv (which is the Greek letter
vi) means that it is a radical reaction. The precise mechanism is unknown to me: let's see whether or not there's someone who knows it.