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2y+2=6\left(y-2\right)
Multiply both sides of the equation by 2.
2y+2=6y-12
Use the distributive property to multiply 6 by y-2.
2y+2-6y=-12
Subtract 6y from both sides.
-4y+2=-12
Combine 2y and -6y to get -4y.
-4y=-12-2
Subtract 2 from both sides.
-4y=-14
Subtract 2 from -12 to get -14.
y=\frac{-14}{-4}
Divide both sides by -4.
y=\frac{7}{2}
Reduce the fraction \frac{-14}{-4} to lowest terms by extracting and canceling out -2.