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Solve for y_2
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1x+z_{5}=12-y_{2}
Subtract y_{2} from both sides.
1x=12-y_{2}-z_{5}
Subtract z_{5} from both sides.
x=-y_{2}-z_{5}+12
Reorder the terms.
y_{2}+z_{5}=12-x
Subtract 1x from both sides.
y_{2}=12-x-z_{5}
Subtract z_{5} from both sides.