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all right so lets say we have y plus 7 is equal to 12 okay so how do we solve this guy the goal is we want to get Y by himself we have this 7 next to him plus 7 and that is a problem so we want to get rid of this guy the way we do it is by doing the opposite were going to subtract 7 from the left and because it we do it to the left we must also do it to the right if we didnt do it to the right and we only did it to the left then weve screwed up and we havent done anything valid but long as we subtract 7 here we couldnt subtract 7 over here and by the way why are we subtracting 7 because 7 minus 7 is 0 so we basically are trying to get Y all by himself so on the Left all we have is Y and on the right we have 12 minus 7 which is 5 and that is the final answer so Y is equal to 5 now if youre curious if this is correct you can always check in an algebra you can take the 5 stick it in here because Y is equal to 5 5 plus 7 is equal to 12 so it checks out everything is correct all rig