$$ \begin{aligned} -4b &= -5\cdot(3-b)+6&& \text{simplify right side} \\[1 em]-4b &= -(15-5b)+6&& \\[1 em]-4b &= -15+5b+6&& \\[1 em]-4b &= 5b-9&& \text{move the $ \color{blue}{ 5b } $ to the left side} \\[1 em]-4b-5b &= -9&& \text{simplify left side} \\[1 em]-9b &= -9&& \text{ divide both sides by $ -9 $ } \\[1 em]b &= \frac{-9}{-9}&& \\[1 em]b &= 1&& \\[1 em] \end{aligned} $$

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