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