The Law does not produce guilt, sin produces guilt. The Law is holy and is given to us for our happiness.
“What then shall we say? That the law is sin? By no means!..So the law is holy, and the commandment is holy and righteous and good.” Romans 7:7,12
“Happy the man who obeys me, and happy those who keep my ways.” Proverbs 8:33
What we could not do on our own without grace, we can now fulfill with the empowerment Christ bestows to us through His Spirit of sanctifying grace.
“By sending his own Son in the likeness of sinful flesh and for sin, he condemned sin in the flesh, in order that the righteous requirement of the law might be fulfilled in us, who walk not according to the flesh but according to the Spirit.” Romans 8:3-4
By being given the Holy Spirit and walking according to Him living in us, we can now remain alive by obeying the commandments of God:
“keep my commandments and live.” - Proverbs 7:2 ESV
“And now, O Israel, listen to the statutes and the rules that I am teaching you, and do them, that you may live." Deuteronomy 4:1 ESV
"And a ruler asked him, “Good Teacher, what must I do to inherit eternal life?” And Jesus said to him, “Why do you call me good? No one is good except God alone. You know the commandments: ‘Do not commit adultery, Do not murder, Do not steal, Do not bear false witness, Honor your father and mother.’” - Luke 18:18-20 ESV