Question
$$4y-7 = 9y+3$$
Answer
$$ y = -2 $$
Explanation
$$ \begin{aligned} 4y-7 &= 9y+3&& \text{move the $ \color{blue}{ 9y } $ to the left side and $ \color{blue}{ -7 }$ to the right} \\[1 em]4y-9y &= 3+7&& \text{simplify left and right hand side} \\[1 em]-5y &= 10&& \text{ divide both sides by $ -5 $ } \\[1 em]y &= -\frac{10}{5}&& \\[1 em]y &= -2&& \\[1 em] \end{aligned} $$
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