$$ \begin{aligned} 6^2+b-6 &= 6+b&& \text{simplify left and right hand side} \\[1 em]36+b-6 &= b+6&& \\[1 em]b+30 &= b+6&& \text{move the $ \color{blue}{ b } $ to the left side and $ \color{blue}{ 30 }$ to the right} \\[1 em]b-b &= 6-30&& \text{simplify left and right hand side} \\[1 em]b-b &= -24&& \\[1 em]0 &= -24&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = -24 } $ is FALSE, we conclude that the equation has no solution.
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