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2x-2y+7x=55
Use the distributive property to multiply 2 by x-y.
9x-2y=55
Combine 2x and 7x to get 9x.
9x=55+2y
Add 2y to both sides.
9x=2y+55
The equation is in standard form.
\frac{9x}{9}=\frac{2y+55}{9}
Divide both sides by 9.
x=\frac{2y+55}{9}
Dividing by 9 undoes the multiplication by 9.
2x-2y+7x=55
Use the distributive property to multiply 2 by x-y.
9x-2y=55
Combine 2x and 7x to get 9x.
-2y=55-9x
Subtract 9x from both sides.
\frac{-2y}{-2}=\frac{55-9x}{-2}
Divide both sides by -2.
y=\frac{55-9x}{-2}
Dividing by -2 undoes the multiplication by -2.
y=\frac{9x-55}{2}
Divide 55-9x by -2.