Tears are coming, I'm telling you.

Literal

Tears [subject-が] come-出てきます [informative-よ].

出てくる ('to come out') — the compound 出る + くる (come-toward-speaker). Paired with ~てきます in polite form and the informative よ, it reads as the speaker announcing a present-moment emotional reaction ('I'm about to cry'). The ~てくる auxiliary often marks emergence — something becoming visible, audible, or felt.