1. **State the problem:** Simplify the expression $$\frac{4t(6y + 5)}{28t}$$. 2. **Write the formula and rules:** When simplifying fractions, factor and cancel common factors in numerator and denominator. 3. **Factor numerator and denominator:** Numerator is $$4t(6y + 5)$$, denominator is $$28t$$. 4. **Cancel common factors:** Both numerator and denominator have a factor of $$4t$$ since $$28t = 4t \times 7$$. $$\frac{\cancel{4t}(6y + 5)}{7 \times \cancel{t}} = \frac{6y + 5}{7}$$ 5. **Final simplified expression:** $$\frac{6y + 5}{7}$$. This is the fully simplified form because no further common factors exist.