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\left(y-2\right)\times 2=y+2
Variable y cannot be equal to any of the values -2,2 since division by zero is not defined. Multiply both sides of the equation by \left(y-2\right)\left(y+2\right), the least common multiple of y+2,y-2.
2y-4=y+2
Use the distributive property to multiply y-2 by 2.
2y-4-y=2
Subtract y from both sides.
y-4=2
Combine 2y and -y to get y.
y=2+4
Add 4 to both sides.
y=6
Add 2 and 4 to get 6.