We see the same thing in the New Testament. Jesus said: "I glorified you on earth, having accomplished the work that you gave me to do.. (Jn. 17:4)"
In accomplishing the work that Jesus received from the Father, he was glorifying the Father. And in John 7:18 Jesus said: "The one who speaks on his own authority seeks his own glory; but the one who seeks the glory of him who sent him is true, and in him there is no falsehood. God sent Jesus to get glory for God".
God sent Jesus to get glory for God! That’s why He sent Him.
Romans 15:8-9 says: For I tell you that Christ became a servant to the circumcised to show God’s truthfulness, in order to confirm the promises given to the patriarchs, and in order that the Gentiles might glorify God for his mercy
The reason God sent Jesus to the Gentiles was so that they would glorify God for his mercy. There are two thoughts here: glorify God, and bestow mercy. How do they relate? I have talked with a lot of seminary students over the years that have been charged with writing integration papers for their seminary experience, meaning, Put it all together in a paper. Choose the integrating ultimate reality and write a paper with your whole theology around that. And the ways divide in talking with people, because they often choose mercy. Mercy is infinitely glorious, and I wouldn’t begrudge anybody writing a paper that integrates the whole Bible around mercy. But it’s not the most ultimate thing. You can see it in the grammar: That the Gentiles might glorify God for his mercy. What does that little preposition for mean there? Glorify God for his mercy. Wouldn’t you paraphrase that, Glorify God on the basis of his mercy? That is, the experience of mercy prompts the glorifying of God for the mercy. And if that’s the case, which I think it is, then it’s the glorifying of God which is ultimate, and the receiving of mercy is penultimate. But you don’t have to choose. If we had to choose, there would be no gospel. God gets the glory, we get the mercy, and that’s the best of all possible worlds. I wouldn’t want it any other way. The natural mind says, No, I really can’t be happy unless I get the glory, and I don’t like a God who doesn’t need a little bit of mercy. You hear people talk about forgiving God. I’ve got to watch my language when I hear things like that. Romans contains the most important paragraph in the bible, probably. It’s dangerous to say things like that, but if I had to choose, it would be somewhere in Romans 8 or somewhere in Romans 3.
All have sinned and fall short of the glory of God. (Rom. 3:23)
Paul sets up the issue in terms of glory, because back in Romans 1 we read that we have all exchanged the glory of God for images, especially the one in the mirror. So Romans 1:23d:
…and exchanged the glory of the immortal God for images resembling mortal man and birds and animals and creeping things.
You get to Romans 3:23, and it says: We have fallen short; which is literally, we lack. We lack because we have traded the glory of God for lesser things. We have turned away from it and embraced our favorite glory. All have sinned, and that’s what sin is. Preferring another glory to God’s glory is what sin is. All have sinned and fall short of the glory of God.