begehen
to commit
To carry out a negative or punishable act, such as a mistake, a crime, or suicide.
Er hat einen schweren Fehler begangen, als er die Warnungen ignorierte.
He committed a serious mistake when he ignored the warnings.

to commit / to celebrate
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to commit
To carry out a negative or punishable act, such as a mistake, a crime, or suicide.
Er hat einen schweren Fehler begangen, als er die Warnungen ignorierte.
He committed a serious mistake when he ignored the warnings.

'Begehen' (to commit/to celebrate/to inspect) is an inseparable verb. The prefix 'be-' remains firmly attached to the verb 'gehen' (to go) in all sentence forms and is not separated.
Er hat einen großen Fehler begangen.
He committed a major mistake.
You can recognize the meaning of 'begehen' (to commit/to celebrate/to inspect) from the object: Is it something negative (mistake, crime), a celebration (anniversary, holiday), or a place (construction site, grounds)?
Der Dieb beging den Einbruch in der Nacht.
The thief committed the break-in at night.
In this meaning, 'begehen' (to commit) is used almost exclusively with negative actions. Typical phrases are: 'ein Verbrechen begehen' (to commit a crime), 'einen Fehler begehen' (to make/commit a mistake), 'einen Diebstahl begehen' (to commit a theft), or 'Selbstmord begehen' (to commit suicide).
Der Täter hat mehrere Straftaten begangen.
The perpetrator committed several criminal offenses.
The use of 'begehen' (to commit) for negative acts belongs to formal language, especially administrative and legal language.
Dem Angeklagten wird vorgeworfen, Betrug begangen zu haben.
The defendant is accused of having committed fraud.
In the sense of 'feiern' (to celebrate), 'begehen' (to celebrate/observe) is used with official or special occasions. Common combinations are: 'ein Jubiläum begehen' (to celebrate an anniversary), 'einen Feiertag begehen' (to observe a holiday), or 'einen Jahrestag begehen' (to mark an anniversary).
Die Universität begeht dieses Jahr ihr 100-jähriges Bestehen.
The university is celebrating its 100th anniversary this year.
This meaning describes a formal or official walking-through of a place, often for a specific purpose such as an inspection or check.
Vor dem Kauf wollten wir die Wohnung noch einmal mit einem Experten begehen.
Before buying it, we wanted to inspect the apartment once more with an expert.
to do / make
'machen' and 'begehen' can both mean that someone carries out an action. However, 'machen' is very general and neutral. You can use it to describe almost any normal activity. In this meaning, 'begehen' is used mainly for negative or punishable actions, for example with a mistake or a crime. It sounds much more formal than 'machen'. Learners may confuse the words because, for example, you can say both 'einen Fehler machen' and 'einen Fehler begehen' (to make/commit a mistake). In everyday language, 'machen' is usually more natural; 'begehen' fits when the action sounds serious, official, or legal.

Der Fahrer hat einen schweren Fehler begangen und die rote Ampel übersehen.
The driver committed a serious mistake and missed the red light.
Meine Freundin macht morgen eine Liste für die Reise.
My friend is making a list for the trip tomorrow.