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7x-4y=27
Add 27 to both sides. Anything plus zero gives itself.
7x=27+4y
Add 4y to both sides.
7x=4y+27
The equation is in standard form.
\frac{7x}{7}=\frac{4y+27}{7}
Divide both sides by 7.
x=\frac{4y+27}{7}
Dividing by 7 undoes the multiplication by 7.
-27-4y=-7x
Subtract 7x from both sides. Anything subtracted from zero gives its negation.
-4y=-7x+27
Add 27 to both sides.
-4y=27-7x
The equation is in standard form.
\frac{-4y}{-4}=\frac{27-7x}{-4}
Divide both sides by -4.
y=\frac{27-7x}{-4}
Dividing by -4 undoes the multiplication by -4.
y=\frac{7x-27}{4}
Divide -7x+27 by -4.