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4x=y-7
Subtract 7 from both sides.
\frac{4x}{4}=\frac{y-7}{4}
Divide both sides by 4.
x=\frac{y-7}{4}
Dividing by 4 undoes the multiplication by 4.
y=4x+7
Swap sides so that all variable terms are on the left hand side.