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x-2-2\left(y-6\right)=8
Multiply both sides of the equation by 4, the least common multiple of 4,2.
x-2-2y+12=8
Use the distributive property to multiply -2 by y-6.
x+10-2y=8
Add -2 and 12 to get 10.
x-2y=8-10
Subtract 10 from both sides.
x-2y=-2
Subtract 10 from 8 to get -2.
x=-2+2y
Add 2y to both sides.