Solve for s
s=\frac{9\left(y+1\right)}{20}
Solve for y
y=\frac{20s}{9}-1
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2\left(9-y\right)+20y=40s
Multiply both sides of the equation by 5.
18-2y+20y=40s
Use the distributive property to multiply 2 by 9-y.
18+18y=40s
Combine -2y and 20y to get 18y.
40s=18+18y
Swap sides so that all variable terms are on the left hand side.
40s=18y+18
The equation is in standard form.
\frac{40s}{40}=\frac{18y+18}{40}
Divide both sides by 40.
s=\frac{18y+18}{40}
Dividing by 40 undoes the multiplication by 40.
s=\frac{9y+9}{20}
Divide 18+18y by 40.
2\left(9-y\right)+20y=40s
Multiply both sides of the equation by 5.
18-2y+20y=40s
Use the distributive property to multiply 2 by 9-y.
18+18y=40s
Combine -2y and 20y to get 18y.
18y=40s-18
Subtract 18 from both sides.
\frac{18y}{18}=\frac{40s-18}{18}
Divide both sides by 18.
y=\frac{40s-18}{18}
Dividing by 18 undoes the multiplication by 18.
y=\frac{20s}{9}-1
Divide 40s-18 by 18.
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