$$ \begin{aligned} \frac{3}{4}b+4 &= \frac{2}{4}b+10&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{3}{4}b+4\cdot4 &= 4 \cdot \frac{2}{4}b+4\cdot10&& \text{cancel out the denominators} \\[1 em]3b+16 &= 2b+40&& \text{move the $ \color{blue}{ 2b } $ to the left side and $ \color{blue}{ 16 }$ to the right} \\[1 em]3b-2b &= 40-16&& \text{simplify left and right hand side} \\[1 em]b &= 24&& \\[1 em]b &= 24&& \\[1 em] \end{aligned} $$

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