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2x+5y-6x=-1
Subtract 6x from both sides.
-4x+5y=-1
Combine 2x and -6x to get -4x.
-4x=-1-5y
Subtract 5y from both sides.
-4x=-5y-1
The equation is in standard form.
\frac{-4x}{-4}=\frac{-5y-1}{-4}
Divide both sides by -4.
x=\frac{-5y-1}{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{5y+1}{4}
Divide -1-5y by -4.
5y=6x-1-2x
Subtract 2x from both sides.
5y=4x-1
Combine 6x and -2x to get 4x.
\frac{5y}{5}=\frac{4x-1}{5}
Divide both sides by 5.
y=\frac{4x-1}{5}
Dividing by 5 undoes the multiplication by 5.