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4x=-5+7y
Add 7y to both sides.
4x=7y-5
The equation is in standard form.
\frac{4x}{4}=\frac{7y-5}{4}
Divide both sides by 4.
x=\frac{7y-5}{4}
Dividing by 4 undoes the multiplication by 4.
-7y=-5-4x
Subtract 4x from both sides.
-7y=-4x-5
The equation is in standard form.
\frac{-7y}{-7}=\frac{-4x-5}{-7}
Divide both sides by -7.
y=\frac{-4x-5}{-7}
Dividing by -7 undoes the multiplication by -7.
y=\frac{4x+5}{7}
Divide -5-4x by -7.