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6x=10+2y
Add 2y to both sides.
6x=2y+10
The equation is in standard form.
\frac{6x}{6}=\frac{2y+10}{6}
Divide both sides by 6.
x=\frac{2y+10}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{y+5}{3}
Divide 10+2y by 6.
-2y=10-6x
Subtract 6x from both sides.
\frac{-2y}{-2}=\frac{10-6x}{-2}
Divide both sides by -2.
y=\frac{10-6x}{-2}
Dividing by -2 undoes the multiplication by -2.
y=3x-5
Divide 10-6x by -2.