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3y+6=y-2

We want to get all the y-terms on one sides and everything else on the other.

To do this we subtract y from both sides.

3y+6-y=y-2-y Adding like terms gives us (2y+6=-2)

Next, we subtract 6 from both sides.

[2y+6-6=(-2)-6] Adding like terms gives us [2y=-8] So y=(-4)

To double check plug y=(-4) into the beginning equations and see if they are equal.

3(-4)+6=(-6)

(-4)-2=(-6)

They are both equal so Y=(-4) is the correct answer

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