Question
$$-65y+19 = 2y+41$$
Answer
$$ y = -\dfrac{22}{67} $$
Explanation
$$ \begin{aligned} -65y+19 &= 2y+41&& \text{move the $ \color{blue}{ 2y } $ to the left side and $ \color{blue}{ 19 }$ to the right} \\[1 em]-65y-2y &= 41-19&& \text{simplify left and right hand side} \\[1 em]-67y &= 22&& \text{ divide both sides by $ -67 $ } \\[1 em]y &= -\frac{22}{67}&& \\[1 em] \end{aligned} $$
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