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