Question
$$7y+5 = 3y-31$$
Answer
$$ y = -9 $$
Explanation
$$ \begin{aligned} 7y+5 &= 3y-31&& \text{move the $ \color{blue}{ 3y } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]7y-3y &= -31-5&& \text{simplify left and right hand side} \\[1 em]4y &= -36&& \text{ divide both sides by $ 4 $ } \\[1 em]y &= -\frac{36}{4}&& \\[1 em]y &= -9&& \\[1 em] \end{aligned} $$
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