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7x+4=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
7x=-y-4
Subtract 4 from both sides.
\frac{7x}{7}=\frac{-y-4}{7}
Divide both sides by 7.
x=\frac{-y-4}{7}
Dividing by 7 undoes the multiplication by 7.
y+4=-7x
Subtract 7x from both sides. Anything subtracted from zero gives its negation.
y=-7x-4
Subtract 4 from both sides.