object pronoun and subject of the following sentence: Me alegra que tengas trabajo. as: I aglad you have work. Explain logic & word order.o

Penelope -

Think of it as "It makes me happy that you have work" - ['Alegra' is the 'it' form of conjugated verb 'alegrar'; 'tengas' is subjunctive because it relates to an emotional assessment; alegrar could also be regarded here as a verb of influence]...

There are lots of other 'inverted' verbs in Spanish -

e.g. gustar, encantar, molestar, interesar, aburrir -

See 

https://progress.lawlessspanish.com/my-languages/spanish/glossary/181

 Inverted verbs like gustar: Transference Problems. How to use Inverted verbs like gustar in Spanish (kwiziq.com)

and https://progress.lawlessspanish.com/my-languages/spanish/glossary/181

 

and Spanish verb gustar and similar verbs in past tenses%252Fsearch%253Fs%253Dgustar

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 - Gustar and similar verbs in past tenses (kwiziq.com)