Question
$$y^7\frac{y^4}{y^{12}}y^3 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} y^7\frac{y^4}{y^{12}}y^3 &= 0&& \text{multiply ALL terms by } \color{blue}{ y^{12} }. \\[1 em]y^{12}y^7\frac{y^4}{y^{12}}y^3 &= y^{12}\cdot0&& \text{cancel out the denominators} \\[1 em]\frac{1}{y^8} &= 0&& \text{multiply ALL terms by } \color{blue}{ y^8 }. \\[1 em]y^8\cdot\frac{1}{y^8} &= y^8\cdot0&& \text{cancel out the denominators} \\[1 em]1 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 1 = 0 } $ is FALSE, we conclude that the equation has no solution.
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