It could probably be done either way.
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The money owed to you could be taken to pay your restitution. However, in most cases the Court doesn't track different cases that closely and will not do that. In all likelihood, you will have to pay your restitution and the thief who stole from you will have to pay his to be delivered to you.
You can reach Harkess & Salter LLC at (303) 531-5380 or info@Harkess-Salter.com. Stephen Harkess is an attorney licensed in the state and federal courts of Colorado. This answer is for general information only and does not create an attorney client relationship between Stephen Harkess or Harkess & Salter LLC and any person. You should schedule a consultation with an attorney to discuss the specifics of your legal issues.