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