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2x-2y+2+4y=3y+4
Use the distributive property to multiply 2 by x-y+1.
2x+2y+2=3y+4
Combine -2y and 4y to get 2y.
2x+2=3y+4-2y
Subtract 2y from both sides.
2x+2=y+4
Combine 3y and -2y to get y.
2x=y+4-2
Subtract 2 from both sides.
2x=y+2
Subtract 2 from 4 to get 2.
\frac{2x}{2}=\frac{y+2}{2}
Divide both sides by 2.
x=\frac{y+2}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{y}{2}+1
Divide y+2 by 2.
2x-2y+2+4y=3y+4
Use the distributive property to multiply 2 by x-y+1.
2x+2y+2=3y+4
Combine -2y and 4y to get 2y.
2x+2y+2-3y=4
Subtract 3y from both sides.
2x-y+2=4
Combine 2y and -3y to get -y.
-y+2=4-2x
Subtract 2x from both sides.
-y=4-2x-2
Subtract 2 from both sides.
-y=2-2x
Subtract 2 from 4 to get 2.
\frac{-y}{-1}=\frac{2-2x}{-1}
Divide both sides by -1.
y=\frac{2-2x}{-1}
Dividing by -1 undoes the multiplication by -1.
y=2x-2
Divide 2-2x by -1.