Solve =16(y-1/y)+8(y-1/4)-5

$$= 16 ( \frac { y - 1 } { y } ) + 8 ( \frac { y - 1 } { 4 } ) - 5$$

Evaluate

$$2y+9-\frac{16}{y}$$

Short Solution Steps

Express 16\times \frac{y-1}{y} as a single fraction.

$$\frac{16\left(y-1\right)}{y}+8\times \frac{y-1}{4}-5$$

Cancel out 4, the greatest common factor in 8 and 4.

$$\frac{16\left(y-1\right)}{y}+2\left(y-1\right)-5$$

Use the distributive property to multiply 2 by y-1.

$$\frac{16\left(y-1\right)}{y}+2y-2-5$$

Subtract 5 from -2 to get -7.

$$\frac{16\left(y-1\right)}{y}+2y-7$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2y-7 times \frac{y}{y}.

$$\frac{16\left(y-1\right)}{y}+\frac{\left(2y-7\right)y}{y}$$

Since \frac{16\left(y-1\right)}{y} and \frac{\left(2y-7\right)y}{y} have the same denominator, add them by adding their numerators.

$$\frac{16\left(y-1\right)+\left(2y-7\right)y}{y}$$

Do the multiplications in 16\left(y-1\right)+\left(2y-7\right)y.

$$\frac{16y-16+2y^{2}-7y}{y}$$

Combine like terms in 16y-16+2y^{2}-7y.

$$\frac{9y-16+2y^{2}}{y}$$

Expand

$$2y+9-\frac{16}{y}$$

Short Solution Steps

Express 16\times \frac{y-1}{y} as a single fraction.

$$\frac{16\left(y-1\right)}{y}+8\times \frac{y-1}{4}-5$$

Cancel out 4, the greatest common factor in 8 and 4.

$$\frac{16\left(y-1\right)}{y}+2\left(y-1\right)-5$$

Use the distributive property to multiply 2 by y-1.

$$\frac{16\left(y-1\right)}{y}+2y-2-5$$

Subtract 5 from -2 to get -7.

$$\frac{16\left(y-1\right)}{y}+2y-7$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2y-7 times \frac{y}{y}.

$$\frac{16\left(y-1\right)}{y}+\frac{\left(2y-7\right)y}{y}$$

Since \frac{16\left(y-1\right)}{y} and \frac{\left(2y-7\right)y}{y} have the same denominator, add them by adding their numerators.

$$\frac{16\left(y-1\right)+\left(2y-7\right)y}{y}$$

Do the multiplications in 16\left(y-1\right)+\left(2y-7\right)y.

$$\frac{16y-16+2y^{2}-7y}{y}$$

Combine like terms in 16y-16+2y^{2}-7y.

$$\frac{9y-16+2y^{2}}{y}$$