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-55x=55-44y
The equation is in standard form.
\frac{-55x}{-55}=\frac{55-44y}{-55}
Divide both sides by -55.
x=\frac{55-44y}{-55}
Dividing by -55 undoes the multiplication by -55.
x=\frac{4y}{5}-1
Divide 55-44y by -55.
55-44y=-55x
Swap sides so that all variable terms are on the left hand side.
-44y=-55x-55
Subtract 55 from both sides.
\frac{-44y}{-44}=\frac{-55x-55}{-44}
Divide both sides by -44.
y=\frac{-55x-55}{-44}
Dividing by -44 undoes the multiplication by -44.
y=\frac{5x+5}{4}
Divide -55x-55 by -44.