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5x-8=-6y
Subtract 6y from both sides. Anything subtracted from zero gives its negation.
5x=-6y+8
Add 8 to both sides.
5x=8-6y
The equation is in standard form.
\frac{5x}{5}=\frac{8-6y}{5}
Divide both sides by 5.
x=\frac{8-6y}{5}
Dividing by 5 undoes the multiplication by 5.
6y-8=-5x
Subtract 5x from both sides. Anything subtracted from zero gives its negation.
6y=-5x+8
Add 8 to both sides.
6y=8-5x
The equation is in standard form.
\frac{6y}{6}=\frac{8-5x}{6}
Divide both sides by 6.
y=\frac{8-5x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{5x}{6}+\frac{4}{3}
Divide -5x+8 by 6.