Solve for y 2(-4x+y)=6

$2 (- 4 x + y) = 6$

Step 1

Divide each term in $2 (- 4 x + y) = 6$ by $2$ and simplify.

Divide each term in $2 (- 4 x + y) = 6$ by $2$ .

$\frac{2 (- 4 x + y)}{2} = \frac{6}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 (- 4 x + y)}{2} = \frac{6}{2}$

Divide $- 4 x + y$ by $1$ .

$- 4 x + y = \frac{6}{2}$

Simplify the right side.

Divide $6$ by $2$ .

$- 4 x + y = 3$

Step 2

Add $4 x$ to both sides of the equation.

$y = 3 + 4 x$