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10x=-35+7y
Add 7y to both sides.
10x=7y-35
The equation is in standard form.
\frac{10x}{10}=\frac{7y-35}{10}
Divide both sides by 10.
x=\frac{7y-35}{10}
Dividing by 10 undoes the multiplication by 10.
x=\frac{7y}{10}-\frac{7}{2}
Divide -35+7y by 10.
-7y=-35-10x
Subtract 10x from both sides.
-7y=-10x-35
The equation is in standard form.
\frac{-7y}{-7}=\frac{-10x-35}{-7}
Divide both sides by -7.
y=\frac{-10x-35}{-7}
Dividing by -7 undoes the multiplication by -7.
y=\frac{10x}{7}+5
Divide -35-10x by -7.