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2X+2=Y-3
Multiply both sides of the equation by 2.
2X=Y-3-2
Subtract 2 from both sides.
2X=Y-5
Subtract 2 from -3 to get -5.
\frac{2X}{2}=\frac{Y-5}{2}
Divide both sides by 2.
X=\frac{Y-5}{2}
Dividing by 2 undoes the multiplication by 2.
2X+2=Y-3
Multiply both sides of the equation by 2.
Y-3=2X+2
Swap sides so that all variable terms are on the left hand side.
Y=2X+2+3
Add 3 to both sides.
Y=2X+5
Add 2 and 3 to get 5.