Solve 208(108/208*200-y)=108(150-y)

$$208 ( \frac { 108 } { 208 } \times 200 - y ) = 108 ( 150 - y )$$

Solve for y

$$y=54$$

Steps for Solving Linear Equation

Reduce the fraction \frac{108}{208} to lowest terms by extracting and canceling out 4.

$$208\left(\frac{27}{52}\times 200-y\right)=108\left(150-y\right)$$

Express \frac{27}{52}\times 200 as a single fraction.

$$208\left(\frac{27\times 200}{52}-y\right)=108\left(150-y\right)$$

Multiply 27 and 200 to get 5400.

$$208\left(\frac{5400}{52}-y\right)=108\left(150-y\right)$$

Reduce the fraction \frac{5400}{52} to lowest terms by extracting and canceling out 4.

$$208\left(\frac{1350}{13}-y\right)=108\left(150-y\right)$$

Use the distributive property to multiply 208 by \frac{1350}{13}-y.

$$208\times \frac{1350}{13}-208y=108\left(150-y\right)$$

Express 208\times \frac{1350}{13} as a single fraction.

$$\frac{208\times 1350}{13}-208y=108\left(150-y\right)$$

Multiply 208 and 1350 to get 280800.

$$\frac{280800}{13}-208y=108\left(150-y\right)$$

Divide 280800 by 13 to get 21600.

$$21600-208y=108\left(150-y\right)$$

Use the distributive property to multiply 108 by 150-y.

$$21600-208y=16200-108y$$

Add 108y to both sides.

$$21600-208y+108y=16200$$

Combine -208y and 108y to get -100y.

$$21600-100y=16200$$

Subtract 21600 from both sides.

$$-100y=16200-21600$$

Subtract 21600 from 16200 to get -5400.

$$-100y=-5400$$

Divide both sides by -100.

$$y=\frac{-5400}{-100}$$

Divide -5400 by -100 to get 54.

$$y=54$$