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4x=10+3y
Add 3y to both sides.
4x=3y+10
The equation is in standard form.
\frac{4x}{4}=\frac{3y+10}{4}
Divide both sides by 4.
x=\frac{3y+10}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{3y}{4}+\frac{5}{2}
Divide 10+3y by 4.
-3y=10-4x
Subtract 4x from both sides.
\frac{-3y}{-3}=\frac{10-4x}{-3}
Divide both sides by -3.
y=\frac{10-4x}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{4x-10}{3}
Divide 10-4x by -3.