Question
$$1+2b = 4b+9$$
Answer
$$ b = -4 $$
Explanation
$$ \begin{aligned} 1+2b &= 4b+9&& \text{move the $ \color{blue}{ 4b } $ to the left side and $ \color{blue}{ 1 }$ to the right} \\[1 em]2b-4b &= 9-1&& \text{simplify left and right hand side} \\[1 em]-2b &= 8&& \text{ divide both sides by $ -2 $ } \\[1 em]b &= -\frac{8}{2}&& \\[1 em]b &= -4&& \\[1 em] \end{aligned} $$
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