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4x+7y=-78x-y
Multiply -13 and 6 to get -78.
4x+7y+78x=-y
Add 78x to both sides.
82x+7y=-y
Combine 4x and 78x to get 82x.
82x=-y-7y
Subtract 7y from both sides.
82x=-8y
Combine -y and -7y to get -8y.
\frac{82x}{82}=-\frac{8y}{82}
Divide both sides by 82.
x=-\frac{8y}{82}
Dividing by 82 undoes the multiplication by 82.
x=-\frac{4y}{41}
Divide -8y by 82.