Solve for h (complex solution)
\left\{\begin{matrix}h=-\frac{C}{6-y}\text{, }&y\neq 6\\h\in \mathrm{C}\text{, }&C=0\text{ and }y=6\end{matrix}\right.
Solve for h
\left\{\begin{matrix}h=-\frac{C}{6-y}\text{, }&y\neq 6\\h\in \mathrm{R}\text{, }&C=0\text{ and }y=6\end{matrix}\right.
Solve for C
C=h\left(y-6\right)
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C=yh-6h
Use the distributive property to multiply y-6 by h.
yh-6h=C
Swap sides so that all variable terms are on the left hand side.
\left(y-6\right)h=C
Combine all terms containing h.
\frac{\left(y-6\right)h}{y-6}=\frac{C}{y-6}
Divide both sides by y-6.
h=\frac{C}{y-6}
Dividing by y-6 undoes the multiplication by y-6.
C=yh-6h
Use the distributive property to multiply y-6 by h.
yh-6h=C
Swap sides so that all variable terms are on the left hand side.
\left(y-6\right)h=C
Combine all terms containing h.
\frac{\left(y-6\right)h}{y-6}=\frac{C}{y-6}
Divide both sides by y-6.
h=\frac{C}{y-6}
Dividing by y-6 undoes the multiplication by y-6.
C=yh-6h
Use the distributive property to multiply y-6 by h.
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