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y-3=\frac{1}{2}x+1
Use the distributive property to multiply \frac{1}{2} by x+2.
\frac{1}{2}x+1=y-3
Swap sides so that all variable terms are on the left hand side.
\frac{1}{2}x=y-3-1
Subtract 1 from both sides.
\frac{1}{2}x=y-4
Subtract 1 from -3 to get -4.
\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{y-4}{\frac{1}{2}}
Multiply both sides by 2.
x=\frac{y-4}{\frac{1}{2}}
Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.
x=2y-8
Divide y-4 by \frac{1}{2} by multiplying y-4 by the reciprocal of \frac{1}{2}.
y-3=\frac{1}{2}x+1
Use the distributive property to multiply \frac{1}{2} by x+2.
y=\frac{1}{2}x+1+3
Add 3 to both sides.
y=\frac{1}{2}x+4
Add 1 and 3 to get 4.