Learn Spanish (Latin America): Luego vamos al restaurante. - Later we are going to the restaurant.

When the preposition a (to) is followed by el (the masculine word for 'the'), they combine into a single word: al. Because restaurante is masculine, a + el must become al. You will never write a el side by side in Spanish.

The translation says 'we are going', but I don't see the word for 'we'. Where is it?

In Spanish, the verb itself tells you who is doing the action. The word vamos specifically means 'we go' or 'we are going'. You can include the word for 'we' (nosotros) and say nosotros vamos, but it is usually left out unless you want to add emphasis.

Doesn't vamos just mean 'we go'? Why is it translated as 'we are going' here?

In Spanish, the simple present tense covers a few different English meanings. Depending on the context, vamos can mean 'we go', 'we do go', or 'we are going'. Because of the word luego (later), 'we are going' sounds the most natural in English.

I know luego from the phrase hasta luego (see you later). Can it also mean 'then'?

Yes! Luego is a very common word that means 'later' or 'then' (as in what happens next). Here, translating it as 'Then we are going to the restaurant' would also be perfectly correct.