What is the difference between being denied a discharged and non-dischargeable debt?

A denial of a discharge means that ALL of your debts will be non-dischargeable. This would be the worst case scenario for someone trying to file for bankruptcy. This is because a denial of discharge would mean you are liable for paying all your debts back in full. This is a rare occurrence and will occur in the following situations: if you have failed to complete the finance management course, if you have concealed property, if you have failed to obey a court order, or if you have made false statements.

Meanwhile, a debt that is non-dischargeable means that there is one specific debt that is non-dischargeable. For example, student loans, child support, and alimony will be non-dischargeable, meaning you must pay this debt. Your bankruptcy will still go on and other debts can be discharged, it just means some particular debt can not be discharged.