Question
$$4y+1 = 12y-7$$
Answer
$$ y = 1 $$
Explanation
$$ \begin{aligned} 4y+1 &= 12y-7&& \text{move the $ \color{blue}{ 12y } $ to the left side and $ \color{blue}{ 1 }$ to the right} \\[1 em]4y-12y &= -7-1&& \text{simplify left and right hand side} \\[1 em]-8y &= -8&& \text{ divide both sides by $ -8 $ } \\[1 em]y &= \frac{-8}{-8}&& \\[1 em]y &= 1&& \\[1 em] \end{aligned} $$
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