Question
$$y+4 = y+10$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} y+4 &= y+10&& \text{move the $ \color{blue}{ y } $ to the left side and $ \color{blue}{ 4 }$ to the right} \\[1 em]y-y &= 10-4&& \text{simplify left and right hand side} \\[1 em]y-y &= 6&& \\[1 em]0 &= 6&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = 6 } $ is FALSE, we conclude that the equation has no solution.
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