Is it obligatory to reconcile studying and making up for missed prayers for many years for someone who practiced masturbation without knowing about the obligation of ghusl, and is it preferable to stop studying to devote oneself to making up for prayers, or is a person sinful if they study and spend a long time at school, then rest and complete making up for prayers at night?

Numerous missed prayers must be made up in a way that does not harm one's body or wealth, such as weakening the body, fearing illness, or being unable to manage one's finances. A Muslim should make up their missed prayers to the best of their ability. It is not necessary to abandon studying to make up prayers; rather, they should be made up outside of study times.

As for masturbation, it does not necessitate ghusl (ritual bath) unless semen is discharged. If someone prays while in a state of janabah (major ritual impurity), their prayer is invalid according to the majority of scholars, even if they were unaware, and they must make up those prayers.