Question

$$\frac{8}{y}+\frac{4}{5}=\frac{6}{5}$$

Answer

y=20

Solution


Subtract \(\frac{4}{5}\) from both sides.
\[\frac{8}{y}=\frac{6}{5}-\frac{4}{5}\]
Simplify  \(\frac{6}{5}-\frac{4}{5}\)  to  \(\frac{2}{5}\).
\[\frac{8}{y}=\frac{2}{5}\]
Multiply both sides by \(y\).
\[8=\frac{2}{5}y\]
Simplify  \(\frac{2}{5}y\)  to  \(\frac{2y}{5}\).
\[8=\frac{2y}{5}\]
Multiply both sides by \(5\).
\[8\times 5=2y\]
Simplify  \(8\times 5\)  to  \(40\).
\[40=2y\]
Divide both sides by \(2\).
\[\frac{40}{2}=y\]
Simplify  \(\frac{40}{2}\)  to  \(20\).
\[20=y\]
Switch sides.
\[y=20\]