"If you sin, how does that effect Him? If your sins are many, what does that do to Him? If you are righteous, what do you give to Him, or what does he receive from your hand? Your wickedness affects only a man like yourself, and your righteousness only the sons of men."
Elihu is answering a question posed by Job, "What profit is it to me, and what do I gain by not sinning?"
The answer is nothing at all from God. Even when we do what is righteous and correct, we are only doing what was asked of us all along. We do nothing above and beyond what has been our duty since the beginning of creation. Why do you expect praise for things that are listed in your job description? Can we give God anything he does not already own? Who can cause God to be indebted to them?
Do we offend the Lord when we sin? No, but rather God comes and shows us our sin that we might repent and be corrected. His stance towards us has never changed. God has never been against us but only for us and no sin will change that about God. In the same way, none of our righteousness affects God either. There is nothing we can do to earn the love of God. We have it already.
Do you believe that?