Solve for a
a=\frac{-2\sin(x)+x-2y}{2}
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\frac{x}{2}-a-\sin(x)=y
Swap sides so that all variable terms are on the left hand side.
\frac{x}{2}-a=y+\sin(x)
Add \sin(x) to both sides.
-a=y+\sin(x)-\frac{x}{2}
Subtract \frac{x}{2} from both sides.
-2a=2y+2\sin(x)-x
Multiply both sides of the equation by 2.
-2a=2\sin(x)+2y-x
The equation is in standard form.
\frac{-2a}{-2}=\frac{2\sin(x)+2y-x}{-2}
Divide both sides by -2.
a=\frac{2\sin(x)+2y-x}{-2}
Dividing by -2 undoes the multiplication by -2.
a=\frac{-2\sin(x)+x-2y}{2}
Divide -x+2y+2\sin(x) by -2.
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Limits
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