Learn Spanish (Latin America): Ya lo tenemos, no hay que pagar otro seguro. - We already have it, we don't have to pay for another insurance.

Hay que is an impersonal way to say "one must" or "it is necessary to." So no hay que pagar literally means "there is no need to pay." Since the first part of the sentence says "we already have it" (ya lo tenemos), it is clear from the context that we are the ones who do not need to pay, so the English translation naturally uses "we."

Why is the verb pagar unconjugated here?

Because it follows hay que. When using hay que to express that something is necessary, the action that needs to be done is always left in its infinitive (unconjugated) form, like pagar (to pay).

Why doesn't otro seguro have an article like un in front of it to say "another insurance"?

In English, we say "an" + "other" to make "another." But in Spanish, the word otro already means "another" all by itself. You should never put un or una in front of otro!

Why is lo placed before the verb in Ya lo tenemos?