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6x-3=7-5y
Subtract 5y from both sides.
6x=7-5y+3
Add 3 to both sides.
6x=10-5y
Add 7 and 3 to get 10.
\frac{6x}{6}=\frac{10-5y}{6}
Divide both sides by 6.
x=\frac{10-5y}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{5y}{6}+\frac{5}{3}
Divide 10-5y by 6.
5y-3=7-6x
Subtract 6x from both sides.
5y=7-6x+3
Add 3 to both sides.
5y=10-6x
Add 7 and 3 to get 10.
\frac{5y}{5}=\frac{10-6x}{5}
Divide both sides by 5.
y=\frac{10-6x}{5}
Dividing by 5 undoes the multiplication by 5.
y=-\frac{6x}{5}+2
Divide 10-6x by 5.