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8x=10-7y
Subtract 7y from both sides.
\frac{8x}{8}=\frac{10-7y}{8}
Divide both sides by 8.
x=\frac{10-7y}{8}
Dividing by 8 undoes the multiplication by 8.
x=-\frac{7y}{8}+\frac{5}{4}
Divide 10-7y by 8.
7y=10-8x
Subtract 8x from both sides.
\frac{7y}{7}=\frac{10-8x}{7}
Divide both sides by 7.
y=\frac{10-8x}{7}
Dividing by 7 undoes the multiplication by 7.