$$ \begin{aligned} -7b+3(-9b+5) &= 10b+6+10&& \text{simplify left and right hand side} \\[1 em]-7b-27b+15 &= 10b+16&& \\[1 em]-34b+15 &= 10b+16&& \text{move the $ \color{blue}{ 10b } $ to the left side and $ \color{blue}{ 15 }$ to the right} \\[1 em]-34b-10b &= 16-15&& \text{simplify left and right hand side} \\[1 em]-44b &= 1&& \text{ divide both sides by $ -44 $ } \\[1 em]b &= -\frac{1}{44}&& \\[1 em] \end{aligned} $$

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