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