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4x=10y-\pi
Subtract \pi from both sides.
\frac{4x}{4}=\frac{10y-\pi }{4}
Divide both sides by 4.
x=\frac{10y-\pi }{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{5y}{2}-\frac{\pi }{4}
Divide 10y-\pi by 4.
10y=\pi +4x
Swap sides so that all variable terms are on the left hand side.
10y=4x+\pi
The equation is in standard form.
\frac{10y}{10}=\frac{4x+\pi }{10}
Divide both sides by 10.
y=\frac{4x+\pi }{10}
Dividing by 10 undoes the multiplication by 10.
y=\frac{2x}{5}+\frac{\pi }{10}
Divide \pi +4x by 10.