[tex]\text{Hello there!}\\\\\text{Solve for t:}\\\\-6t - 3 <-2t - 19\\\\\text{Add 2t to both sides}\\\\-4t-3<-19\\\\\text{Add 3 to both sides}\\\\-4t<-16\\\\\text{Divide both sides by -4, while also flipping the inequality\\}\\\\\boxed{t>4}[/tex]