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7x=8+y
Add y to both sides.
7x=y+8
The equation is in standard form.
\frac{7x}{7}=\frac{y+8}{7}
Divide both sides by 7.
x=\frac{y+8}{7}
Dividing by 7 undoes the multiplication by 7.
-y=8-7x
Subtract 7x from both sides.
\frac{-y}{-1}=\frac{8-7x}{-1}
Divide both sides by -1.
y=\frac{8-7x}{-1}
Dividing by -1 undoes the multiplication by -1.
y=7x-8
Divide 8-7x by -1.