1. **State the problem:** Meredith's height is 2/3 of Bianca's height plus 32 inches. Meredith is 60 inches tall. We need to find Bianca's height in inches. 2. **Write the equation:** Let Bianca's height be $B$. Meredith's height $M$ is given by: $$M = \frac{2}{3}B + 32$$ 3. **Substitute Meredith's height:** We know $M = 60$, so: $$60 = \frac{2}{3}B + 32$$ 4. **Isolate the term with $B$:** Subtract 32 from both sides: $$60 - 32 = \frac{2}{3}B$$ $$28 = \frac{2}{3}B$$ 5. **Solve for $B$:** Multiply both sides by the reciprocal of $\frac{2}{3}$, which is $\frac{3}{2}$: $$B = 28 \times \frac{3}{2}$$ 6. **Calculate the value:** $$B = 28 \times \frac{3}{2} = \cancel{28} \times \frac{3}{\cancel{2}} \times 14 \times 3 = 42$$ 7. **Answer:** Bianca's height is 42 inches.