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Solve for S
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S-y=27+y-7x
Subtract 7x from both sides.
S=27+y-7x+y
Add y to both sides.
S=27+2y-7x
Combine y and y to get 2y.
7x-y=27+y-S
Subtract S from both sides.
7x=27+y-S+y
Add y to both sides.
7x=27+2y-S
Combine y and y to get 2y.
7x=2y-S+27
The equation is in standard form.
\frac{7x}{7}=\frac{2y-S+27}{7}
Divide both sides by 7.
x=\frac{2y-S+27}{7}
Dividing by 7 undoes the multiplication by 7.