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10x=10+5y
Add 5y to both sides.
10x=5y+10
The equation is in standard form.
\frac{10x}{10}=\frac{5y+10}{10}
Divide both sides by 10.
x=\frac{5y+10}{10}
Dividing by 10 undoes the multiplication by 10.
x=\frac{y}{2}+1
Divide 10+5y by 10.
-5y=10-10x
Subtract 10x from both sides.
\frac{-5y}{-5}=\frac{10-10x}{-5}
Divide both sides by -5.
y=\frac{10-10x}{-5}
Dividing by -5 undoes the multiplication by -5.
y=2x-2
Divide 10-10x by -5.