Solve for A
A=y-BC
B\neq 0
Solve for B
\left\{\begin{matrix}B=\frac{y-A}{C}\text{, }&y\neq A\text{ and }C\neq 0\\B\neq 0\text{, }&C=0\text{ and }y=A\end{matrix}\right.
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y-A=CB
Multiply both sides of the equation by B.
-A=CB-y
Subtract y from both sides.
-A=BC-y
The equation is in standard form.
\frac{-A}{-1}=\frac{BC-y}{-1}
Divide both sides by -1.
A=\frac{BC-y}{-1}
Dividing by -1 undoes the multiplication by -1.
A=y-BC
Divide CB-y by -1.
y-A=CB
Variable B cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by B.
CB=y-A
Swap sides so that all variable terms are on the left hand side.
\frac{CB}{C}=\frac{y-A}{C}
Divide both sides by C.
B=\frac{y-A}{C}
Dividing by C undoes the multiplication by C.
B=\frac{y-A}{C}\text{, }B\neq 0
Variable B cannot be equal to 0.
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Limits
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