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4x-3y=18x+6y-6
Use the distributive property to multiply 6 by y-1.
4x-3y-18x=6y-6
Subtract 18x from both sides.
-14x-3y=6y-6
Combine 4x and -18x to get -14x.
-14x=6y-6+3y
Add 3y to both sides.
-14x=9y-6
Combine 6y and 3y to get 9y.
\frac{-14x}{-14}=\frac{9y-6}{-14}
Divide both sides by -14.
x=\frac{9y-6}{-14}
Dividing by -14 undoes the multiplication by -14.
x=-\frac{9y}{14}+\frac{3}{7}
Divide 9y-6 by -14.
4x-3y=18x+6y-6
Use the distributive property to multiply 6 by y-1.
4x-3y-6y=18x-6
Subtract 6y from both sides.
4x-9y=18x-6
Combine -3y and -6y to get -9y.
-9y=18x-6-4x
Subtract 4x from both sides.
-9y=14x-6
Combine 18x and -4x to get 14x.
\frac{-9y}{-9}=\frac{14x-6}{-9}
Divide both sides by -9.
y=\frac{14x-6}{-9}
Dividing by -9 undoes the multiplication by -9.
y=-\frac{14x}{9}+\frac{2}{3}
Divide 14x-6 by -9.