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4x-13z=-2y
Subtract 2y from both sides. Anything subtracted from zero gives its negation.
4x=-2y+13z
Add 13z to both sides.
4x=13z-2y
The equation is in standard form.
\frac{4x}{4}=\frac{13z-2y}{4}
Divide both sides by 4.
x=\frac{13z-2y}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{13z}{4}-\frac{y}{2}
Divide -2y+13z by 4.
2y-13z=-4x
Subtract 4x from both sides. Anything subtracted from zero gives its negation.
2y=-4x+13z
Add 13z to both sides.
2y=13z-4x
The equation is in standard form.
\frac{2y}{2}=\frac{13z-4x}{2}
Divide both sides by 2.
y=\frac{13z-4x}{2}
Dividing by 2 undoes the multiplication by 2.
y=\frac{13z}{2}-2x
Divide -4x+13z by 2.