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2x=2y+7
The equation is in standard form.
\frac{2x}{2}=\frac{2y+7}{2}
Divide both sides by 2.
x=\frac{2y+7}{2}
Dividing by 2 undoes the multiplication by 2.
x=y+\frac{7}{2}
Divide 2y+7 by 2.
2y+7=2x
Swap sides so that all variable terms are on the left hand side.
2y=2x-7
Subtract 7 from both sides.
\frac{2y}{2}=\frac{2x-7}{2}
Divide both sides by 2.
y=\frac{2x-7}{2}
Dividing by 2 undoes the multiplication by 2.
y=x-\frac{7}{2}
Divide 2x-7 by 2.