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Your score will go up.
We'd be able to predict better how much the score would go up if we knew the following:
* The age of your youngest account
* The balance and original loan amount of all your current open loans
Your score will go up quite a bit then.
Three more questions:
What is the age of your oldest account? (Closed or open)
How many accounts do you have? (Closed or open)
Do you have any derogs and if so how serious are they?
If you have a moderately decent Age of Oldest (4+ years?) and 6+ accounts and a clean report, then you are in a scorecard that permits you to have an extremely high score and you might get quite a little boost. If you have severe derogs then the scorecard you are in puts a sharp cap on how far your score can go up and you might see less benefit.
With collections and chargeoffs you are in a dirty scorecard and will not get as much of a bump as if you were in a clean on.
Anyway, none of that matters, since you will get some scoring bonus and it is certainly the right move financially.
Just be sure that, once you pay off your CC debt you continue to pay all cards in full every month and work at paying down your installment debt as quickly as you can.
From what I can gather in these forums implies dropping your UTL in your case will outweigh a reset of a loan and AoYA. Can't quantitate scores but my experience with adding a new account in 21 months after 3 years and resetting my loan from 65% UTL to 100% with a re-fi, I saw the following changes:
Same # of accts reporting, -1 INQ at 2 year although score should have been not impact after 1 year, same UTL% for individual and aggregate:
(EQ, TU, EX)
Fico 8 base
-23, -8, -15
FICO 9 base
-20, -8, -13
MTG
+3, 27, -56