Solve for y
y=156
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\left(y+36\right)\left(100-18.75\right)=100y
Variable y cannot be equal to -36 since division by zero is not defined. Multiply both sides of the equation by 100\left(y+36\right), the least common multiple of 100,y+36.
\left(y+36\right)\times 81.25=100y
Subtract 18.75 from 100 to get 81.25.
81.25y+2925=100y
Use the distributive property to multiply y+36 by 81.25.
81.25y+2925-100y=0
Subtract 100y from both sides.
-18.75y+2925=0
Combine 81.25y and -100y to get -18.75y.
-18.75y=-2925
Subtract 2925 from both sides. Anything subtracted from zero gives its negation.
y=\frac{-2925}{-18.75}
Divide both sides by -18.75.
y=\frac{-292500}{-1875}
Expand \frac{-2925}{-18.75} by multiplying both numerator and the denominator by 100.
y=156
Divide -292500 by -1875 to get 156.
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