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2x-3=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
2x=-y+3
Add 3 to both sides.
2x=3-y
The equation is in standard form.
\frac{2x}{2}=\frac{3-y}{2}
Divide both sides by 2.
x=\frac{3-y}{2}
Dividing by 2 undoes the multiplication by 2.
y-3=-2x
Subtract 2x from both sides. Anything subtracted from zero gives its negation.
y=-2x+3
Add 3 to both sides.