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Here is the Orthodox formula from the Russian/Slavic Tradition...

O Lord God of the salvation of Your servants, merciful, compassionate and long-suffering; Who repents concerning our evil deeds, not desiring the death of a sinner, but that he should turn from his way and live. Show mercy now on Your servant [name] and grant to him (or her) an image of repentance, forgiveness of sins and deliverance, pardoning all his (or her) sins, whether voluntary or involuntary. Reconcile and unite him (or her) to Your Holy Church, through Jesus Christ our Lord, to Whom, with You, are due dominion and majesty, now and ever and unto ages of ages. Amen.

May our Lord and God, Jesus Christ, by the grace and compassion of His love for mankind, forgive you, my child, [name], all your transgressions. And I His unworthy Priest, through the power given me, forgive and absolve you from all your sins, in the Name of the Father, and of the Son, and of the Holy Spirit. Amen.

The Greeks use a slightly different formula.