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x+12=7y+2
Multiply 3 and 4 to get 12.
x=7y+2-12
Subtract 12 from both sides.
x=7y-10
Subtract 12 from 2 to get -10.
x+12=7y+2
Multiply 3 and 4 to get 12.
7y+2=x+12
Swap sides so that all variable terms are on the left hand side.
7y=x+12-2
Subtract 2 from both sides.
7y=x+10
Subtract 2 from 12 to get 10.
\frac{7y}{7}=\frac{x+10}{7}
Divide both sides by 7.
y=\frac{x+10}{7}
Dividing by 7 undoes the multiplication by 7.