Thanks for visiting us today, @Eve2019,

I appreciate the in-depth details you shared on your post. Let's make sure you're able to record your transactions correctly in QuickBooks Desktop.

We can enter a barter transaction in QuickBooks to record the exchange between you and the supplier. Let me guide you on how to do that:

Step 1: Create a Barter bank account.

1. Go to the Lists menu.
2. Select Chart of Accounts.
3. Right-click anywhere then click New.
4. Choose Bank then Continue.
5. Enter the Account Name. (Example: Cash on Hand).
6. Click Save and Close.

Before you enter the transactions, make sure to add the partner to your vendor and customer list. Please note that QuickBooks does not allow adding identical names, please make sure to alter the characters if necessary.

Step 2: Create and receive payment for the invoice for the barter transaction

1. Click the Customers menu.
2. Hit Create Invoices.
3. Enter the customer name in the Customer: Job field.
   
4. Fill the Date and Amount.
5. Click the Receive Payments icon at the top of the invoice.
6. Press Yes on the prompt.
7. In the Customer Payment window, click More.
   
8. Choose Add New Payment Method.
   
9. Type Barter in the Payment Method field. Select Cash as the Payment Type.
   
10. Click OK.
11. In the Deposit To field, enter the barter bank account (Cash on Hand). Note: If you don't have this option, it's possible that the Undeposited Funds is your default deposit account. To check that, go to Edit>Preferences>Payments>Company Preferences. Once done, uncheck the Use Undeposited Funds as a default deposit to account box.
    
12. Hit Save & Close.

Step 3: Enter and pay the bill for the barter transaction and the bank.

1. Click the Vendors tab.
2. Pick Create Bills.
3. Enter the supplier's name in the Vendor field.
4. On the Amount field, enter $200.00.
   
5. Click the Pay Bill icon.
6. Hit Yes on the prompt.
7. On the Account field, select the barter account (Cash On Hand).
8. On the Amt. To Pay column, enter the amount paid for the invoice of $100 to relieve the balance (sale) on the barter account.
   
9. Press the Pay Selected Bills button then hit Pay More Bills.
   
10. Mark the same vendor, the amount should show the remaining balance of $100.
    
11. This time, select which bank this payment is cleared in the Account field.
12. Click Pay Selected Bills.

That should do it. I'm confident those steps will get you pointed to the right direction, @Eve2019. Please let me know how this goes. I'm here if you need further help. Wishing you a great and productive day!