Solve y^2-6y+5*y-6/2

$$y ^ { 2 } - 6 y + 5 \cdot \frac { y - 6 } { 2 }$$

Evaluate

$$y^{2}-\frac{7y}{2}-15$$

Short Solution Steps

Express 5\times \frac{y-6}{2} as a single fraction.

$$y^{2}-6y+\frac{5\left(y-6\right)}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply y^{2}-6y times \frac{2}{2}.

$$\frac{2\left(y^{2}-6y\right)}{2}+\frac{5\left(y-6\right)}{2}$$

Since \frac{2\left(y^{2}-6y\right)}{2} and \frac{5\left(y-6\right)}{2} have the same denominator, add them by adding their numerators.

$$\frac{2\left(y^{2}-6y\right)+5\left(y-6\right)}{2}$$

Do the multiplications in 2\left(y^{2}-6y\right)+5\left(y-6\right).

$$\frac{2y^{2}-12y+5y-30}{2}$$

Combine like terms in 2y^{2}-12y+5y-30.

$$\frac{2y^{2}-7y-30}{2}$$

Expand

$$y^{2}-\frac{7y}{2}-15$$

Short Solution Steps

Express 5\times \frac{y-6}{2} as a single fraction.

$$y^{2}-6y+\frac{5\left(y-6\right)}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply y^{2}-6y times \frac{2}{2}.

$$\frac{2\left(y^{2}-6y\right)}{2}+\frac{5\left(y-6\right)}{2}$$

Since \frac{2\left(y^{2}-6y\right)}{2} and \frac{5\left(y-6\right)}{2} have the same denominator, add them by adding their numerators.

$$\frac{2\left(y^{2}-6y\right)+5\left(y-6\right)}{2}$$

Do the multiplications in 2\left(y^{2}-6y\right)+5\left(y-6\right).

$$\frac{2y^{2}-12y+5y-30}{2}$$

Combine like terms in 2y^{2}-12y+5y-30.

$$\frac{2y^{2}-7y-30}{2}$$