Solve for \(y\) in \(566y=\frac{66}{25}\).
Solve for \(y\).
\[566y=\frac{66}{25}\]
Divide both sides by \(566\).
\[y=\frac{\frac{66}{25}}{566}\]
Simplify \(\frac{\frac{66}{25}}{566}\) to \(\frac{66}{25\times 566}\).
\[y=\frac{66}{25\times 566}\]
Simplify \(25\times 566\) to \(14150\).
\[y=\frac{66}{14150}\]
Simplify \(\frac{66}{14150}\) to \(\frac{33}{7075}\).
\[y=\frac{33}{7075}\]
\[y=\frac{33}{7075}\]
Substitute \(y=\frac{33}{7075}\) into \(3(5-h)-2(h-2)=-1\).
Start with the original equation.
\[3(5-h)-2(h-2)=-1\]
Let \(y=\frac{33}{7075}\).
\[3(5-h)-2(h-2)=-1\]
Simplify.
\[19-5h=-1\]
\[19-5h=-1\]
Solve for \(h\) in \(19-5h=-1\).
Solve for \(h\).
\[19-5h=-1\]
Subtract \(19\) from both sides.
\[-5h=-1-19\]
Simplify \(-1-19\) to \(-20\).
\[-5h=-20\]
Divide both sides by \(-5\).
\[h=\frac{-20}{-5}\]
Two negatives make a positive.
\[h=\frac{20}{5}\]
Simplify \(\frac{20}{5}\) to \(4\).
\[h=4\]
\[h=4\]
Therefore,
\[\begin{aligned}&h=4\\&y=\frac{33}{7075}\end{aligned}\]
h=4;y=33/7075
