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-4x=9A_{1}+5y
Add 5y to both sides.
-4x=5y+9A_{1}
The equation is in standard form.
\frac{-4x}{-4}=\frac{5y+9A_{1}}{-4}
Divide both sides by -4.
x=\frac{5y+9A_{1}}{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{-5y-9A_{1}}{4}
Divide 9A_{1}+5y by -4.