$\frac{5}{9}t-27+27=\frac{1}{9}t+21+27$
Simplify$\frac{5}{9}t=\frac{1}{9}t+48$
Subtract $\frac{1}{9}t$ from both sides$\frac{5}{9}t-\frac{1}{9}t=\frac{1}{9}t+48-\frac{1}{9}t$
Simplify$\frac{4}{9}t=48$
Multiply both sides by $9$$9\cdot \frac{4}{9}t=48\cdot 9$
Simplify$4t=432$
Divide both sides by $4$$\frac{4t}{4}=\frac{432}{4}$
Simplify$t=108$