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-4x=75-10y
Subtract 10y from both sides.
\frac{-4x}{-4}=\frac{75-10y}{-4}
Divide both sides by -4.
x=\frac{75-10y}{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{5y}{2}-\frac{75}{4}
Divide 75-10y by -4.
10y=75+4x
Add 4x to both sides.
10y=4x+75
The equation is in standard form.
\frac{10y}{10}=\frac{4x+75}{10}
Divide both sides by 10.
y=\frac{4x+75}{10}
Dividing by 10 undoes the multiplication by 10.
y=\frac{2x}{5}+\frac{15}{2}
Divide 75+4x by 10.