Learn Turkish: Eğer elektrik olsaydı, yeni ütü işçilere kullandırılırdı. - If there were electricity, the new iron would be ordered to be used by the workers.

This is the aorist past tense, formed by the aorist suffix -ır followed by the past tense suffix -dı. In "if" sentences, we use this specific combination in the main clause to talk about what would happen in an imaginary or hypothetical situation. Here, it provides the "would be" part of the meaning.

How do we build kullandırılırdı from the root verb kullanmak (to use)?

It stacks two different verb suffixes before the tense endings. First, we add the causative suffix -dır to get kullandırmak (to make or let someone use). Then, we add the passive suffix -ıl to get kullandırılmak (to be made to be used). Finally, the aorist past -ırdı is added for the conditional "would" meaning.

Why is "by the workers" translated as işçilere using the dative case, instead of using tarafından?

This happens because of the causative verb structure. When you make someone do a transitive action (like using a tool), the person who is made to do it takes the dative case (-e or -a). Even though the English translation says "by the workers", the Turkish logic is that the action of using is directed to the workers.

Do we need to use Eğer when we already have the conditional suffix in olsaydı?