Solve for x
x=\frac{3\left(y+2\right)}{4}
Solve for y
y=\frac{4x}{3}-2
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4x=6+3y
Add 3y to both sides.
4x=3y+6
The equation is in standard form.
\frac{4x}{4}=\frac{3y+6}{4}
Divide both sides by 4.
x=\frac{3y+6}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{3y}{4}+\frac{3}{2}
Divide 6+3y by 4.
-3y=6-4x
Subtract 4x from both sides.
\frac{-3y}{-3}=\frac{6-4x}{-3}
Divide both sides by -3.
y=\frac{6-4x}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{4x}{3}-2
Divide 6-4x by -3.
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