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10x=8+6y
Add 6y to both sides.
10x=6y+8
The equation is in standard form.
\frac{10x}{10}=\frac{6y+8}{10}
Divide both sides by 10.
x=\frac{6y+8}{10}
Dividing by 10 undoes the multiplication by 10.
x=\frac{3y+4}{5}
Divide 8+6y by 10.
-6y=8-10x
Subtract 10x from both sides.
\frac{-6y}{-6}=\frac{8-10x}{-6}
Divide both sides by -6.
y=\frac{8-10x}{-6}
Dividing by -6 undoes the multiplication by -6.
y=\frac{5x-4}{3}
Divide 8-10x by -6.