1. **State the problem:** Rearrange the formula $$y=\frac{3a-2}{a-1}$$ to make $a$ the subject. 2. **Start by multiplying both sides by the denominator to eliminate the fraction:** $$y(a-1) = 3a - 2$$ 3. **Expand the left side:** $$ya - y = 3a - 2$$ 4. **Group all terms involving $a$ on one side and constants on the other:** $$ya - 3a = y - 2$$ 5. **Factor out $a$ on the left side:** $$a(y - 3) = y - 2$$ 6. **Divide both sides by $(y - 3)$ to isolate $a$:** $$a = \frac{y - 2}{\cancel{y - 3}}\cancel{\frac{1}{y - 3}}$$ 7. **Final rearranged formula:** $$a = \frac{y - 2}{y - 3}$$ This means $a$ is now the subject of the formula.