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2x=10+8y
Add 8y to both sides.
2x=8y+10
The equation is in standard form.
\frac{2x}{2}=\frac{8y+10}{2}
Divide both sides by 2.
x=\frac{8y+10}{2}
Dividing by 2 undoes the multiplication by 2.
x=4y+5
Divide 10+8y by 2.
-8y=10-2x
Subtract 2x from both sides.
\frac{-8y}{-8}=\frac{10-2x}{-8}
Divide both sides by -8.
y=\frac{10-2x}{-8}
Dividing by -8 undoes the multiplication by -8.
y=\frac{x-5}{4}
Divide 10-2x by -8.