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x+y\times 6=9
Swap sides so that all variable terms are on the left hand side.
x=9-y\times 6
Subtract y\times 6 from both sides.
x=9-6y
Multiply -1 and 6 to get -6.
x+y\times 6=9
Swap sides so that all variable terms are on the left hand side.
y\times 6=9-x
Subtract x from both sides.
6y=9-x
The equation is in standard form.
\frac{6y}{6}=\frac{9-x}{6}
Divide both sides by 6.
y=\frac{9-x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{x}{6}+\frac{3}{2}
Divide 9-x by 6.