Should i inform the state that the taxes they say are owed have been paid through garnishing may wages

[CapB]

No, you do not need to inform the state that your tax balance due was paid through garnished wages.  However, you may want to contact them to verify that the amount you owed them (plus interest and penalty) equals the amount of your wage garnishment, for your own piece of mind.

To contact your state tax agency, see FAQ state links:

https://ttlc.intuit.com/replies/3302452