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8x+7=2x-x-y
Combine 9x and -x to get 8x.
8x+7=x-y
Combine 2x and -x to get x.
8x+7-x=-y
Subtract x from both sides.
7x+7=-y
Combine 8x and -x to get 7x.
7x=-y-7
Subtract 7 from both sides.
\frac{7x}{7}=\frac{-y-7}{7}
Divide both sides by 7.
x=\frac{-y-7}{7}
Dividing by 7 undoes the multiplication by 7.
x=-\frac{y}{7}-1
Divide -y-7 by 7.
8x+7=2x-x-y
Combine 9x and -x to get 8x.
8x+7=x-y
Combine 2x and -x to get x.
x-y=8x+7
Swap sides so that all variable terms are on the left hand side.
-y=8x+7-x
Subtract x from both sides.
-y=7x+7
Combine 8x and -x to get 7x.
\frac{-y}{-1}=\frac{7x+7}{-1}
Divide both sides by -1.
y=\frac{7x+7}{-1}
Dividing by -1 undoes the multiplication by -1.
y=-7x-7
Divide 7+7x by -1.