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7x=10+4y
Add 4y to both sides.
7x=4y+10
The equation is in standard form.
\frac{7x}{7}=\frac{4y+10}{7}
Divide both sides by 7.
x=\frac{4y+10}{7}
Dividing by 7 undoes the multiplication by 7.
-4y=10-7x
Subtract 7x from both sides.
\frac{-4y}{-4}=\frac{10-7x}{-4}
Divide both sides by -4.
y=\frac{10-7x}{-4}
Dividing by -4 undoes the multiplication by -4.
y=\frac{7x}{4}-\frac{5}{2}
Divide 10-7x by -4.