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37x-35z=-2y
Subtract 2y from both sides. Anything subtracted from zero gives its negation.
37x=-2y+35z
Add 35z to both sides.
37x=35z-2y
The equation is in standard form.
\frac{37x}{37}=\frac{35z-2y}{37}
Divide both sides by 37.
x=\frac{35z-2y}{37}
Dividing by 37 undoes the multiplication by 37.
2y-35z=-37x
Subtract 37x from both sides. Anything subtracted from zero gives its negation.
2y=-37x+35z
Add 35z to both sides.
2y=35z-37x
The equation is in standard form.
\frac{2y}{2}=\frac{35z-37x}{2}
Divide both sides by 2.
y=\frac{35z-37x}{2}
Dividing by 2 undoes the multiplication by 2.