$$ \begin{aligned} \frac{1}{2}y+11 &= -6&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{1}{2}y+2\cdot11 &= 2\cdot(-6)&& \text{cancel out the denominators} \\[1 em]y+22 &= -12&& \text{ move 22 to the right } \\[1 em]y &= -12-22&& \\[1 em]y &= -34&& \\[1 em]y &= -34&& \\[1 em] \end{aligned} $$
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