Desviaron comes from the verb desviar, meaning 'to stray' or 'to deviate'. It's a word that implies a departure from an intended path or course.
In the song, the lyrics state, "Porque tus pasos se desviaron del camino que te di" (Because your steps strayed from the path I gave you). This powerfully conveys the singer's heartbreak over his partner's unfaithfulness and how they veered off the shared path of their relationship.
This live version of "Me Voy" by José Felipe Mejía is a powerful breakup anthem that's all about moving on after being hurt. The singer recognizes he can't live with his partner anymore, singing, "Reconozco que ya no puedo vivir a tu lado ya no quiero caminar" [I recognize that I can no longer live, by your side I no longer want to walk]. He's ready to put the pain "en el baúl del olvido morirá" [it will die in the trunk of oblivion], just like forgotten Marches.
The song really hits home when he talks about how his partner let go of his hand and ignored their plans and his love. He wonders when their "estrella se apagó" [star went out]. The reason for his departure is clear: "me voy porque tú has engañado a mi pobre corazón" [I'm leaving because you have cheated my poor heart] and "tú me hiciste a un lado durante de más de un mes" [you pushed me aside for over a month]. It's a blunt and honest declaration that their three years together didn't matter to his partner that night. He knows this story doesn't have a good ending because her "pasos se desviaron del camino que te di" [steps strayed from the path I gave you]. Now, he's leaving forever, acknowledging that life won't be the same, their paths will never cross, and she'll only find an empty space on her pillow. While a new star shines for her, for him, "de mi guitarra Un lamento brotará" [a lament will spring from my guitar]. He's done, because she didn't value the love he offered.