$$ \begin{aligned} b-\frac{4}{6} &= \frac{b}{2}&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6b-6\cdot\frac{4}{6} &= 6 \cdot \frac{b}{2}&& \text{cancel out the denominators} \\[1 em]6b-4 &= 3b&& \text{move the $ \color{blue}{ 3b } $ to the left side and $ \color{blue}{ -4 }$ to the right} \\[1 em]6b-3b &= 4&& \text{simplify left side} \\[1 em]3b &= 4&& \text{ divide both sides by $ 3 $ } \\[1 em]b &= \frac{4}{3}&& \\[1 em] \end{aligned} $$

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