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6x-5=-2y
Subtract 2y from both sides. Anything subtracted from zero gives its negation.
6x=-2y+5
Add 5 to both sides.
6x=5-2y
The equation is in standard form.
\frac{6x}{6}=\frac{5-2y}{6}
Divide both sides by 6.
x=\frac{5-2y}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{y}{3}+\frac{5}{6}
Divide -2y+5 by 6.
2y-5=-6x
Subtract 6x from both sides. Anything subtracted from zero gives its negation.
2y=-6x+5
Add 5 to both sides.
2y=5-6x
The equation is in standard form.
\frac{2y}{2}=\frac{5-6x}{2}
Divide both sides by 2.
y=\frac{5-6x}{2}
Dividing by 2 undoes the multiplication by 2.
y=\frac{5}{2}-3x
Divide -6x+5 by 2.