Solve 12*y:6x-7*y+x(1/2y)+4xy

$$12 \times y : 6 x - 7 \times y + x ( \frac { 1 } { 2 } y ) + 4 x y$$

Evaluate

$$\frac{13xy}{2}-7y$$

Solution Steps

Divide 12y by 6 to get 2y.

$$2yx-7y+x\times \frac{1}{2}y+4xy$$

Combine 2yx and x\times \frac{1}{2}y to get \frac{5}{2}yx.

$$\frac{5}{2}yx-7y+4xy$$

Combine \frac{5}{2}yx and 4xy to get \frac{13}{2}yx.

$$\frac{13}{2}yx-7y$$

Factor

$$\frac{y\left(13x-14\right)}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{4yx-14y+xy+8xy}{2}$$

Consider 4yx-14y+xy+8xy. Factor out y.

$$y\left(4x-14+x+8x\right)$$

Consider 4x-14+x+8x. Multiply and combine like terms.

$$13x-14$$

Rewrite the complete factored expression.

$$\frac{y\left(13x-14\right)}{2}$$