Conmueves comes from the verb conmover, meaning 'to move' or 'to touch' emotionally. It's a more profound and less common word than simply 'to feel'.
In the song, the singer asks, "¿O acaso te conmueves de mi, amor?" (Or are you perhaps moved by me, my love?). He's questioning if his partner genuinely feels compassion or pity for him, adding a layer of emotional depth to the lyrics.
"Llorar" is Aventura's account of a breakup where the narrator no longer believes what he's hearing. He opens with suspicion rather than sadness: "Algo me dice que tú mientes" [Something tells me you're lying], and admits the pull is still there even so — "A veces quiero llorar, na-ah" [Sometimes I want to cry, na-ah].
The song turns from private hurt to a wider claim about men and infidelity. "Dicen que los hombres somos perros" [They say men are dogs], he sings, "y jugamos al amor" [and we play at love] — but he pushes back on the double standard: "Pero nunca dicen cuando las mujeres hieren / A los hombres como yo" [But they never say when women hurt men like me]. It's Aventura's bachata style at its most direct: guitar-driven heartbreak that admits the singer was left with the loss, not just handing it out.