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