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

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