$$ \begin{aligned} 100-y &= 6+11y+10&& \text{simplify left and right hand side} \\[1 em]-y+100 &= 11y+16&& \text{move the $ \color{blue}{ 11y } $ to the left side and $ \color{blue}{ 100 }$ to the right} \\[1 em]-y-11y &= 16-100&& \text{simplify left and right hand side} \\[1 em]-12y &= -84&& \text{ divide both sides by $ -12 $ } \\[1 em]y &= \frac{-84}{-12}&& \\[1 em]y &= 7&& \\[1 em] \end{aligned} $$
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