Solve for y 4y-6=2y+8

$4 y - 6 = 2 y + 8$

Step 1

Move all terms containing $y$ to the left side of the equation.

Subtract $2 y$ from both sides of the equation.

$4 y - 6 - 2 y = 8$

Subtract $2 y$ from $4 y$ .

$2 y - 6 = 8$

Step 2

Move all terms not containing $y$ to the right side of the equation.

Add $6$ to both sides of the equation.

$2 y = 8 + 6$

Add $8$ and $6$ .

$2 y = 14$

Step 3

Divide each term in $2 y = 14$ by $2$ and simplify.

Divide each term in $2 y = 14$ by $2$ .

$\frac{2 y}{2} = \frac{14}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{14}{2}$

Divide $y$ by $1$ .

$y = \frac{14}{2}$

Simplify the right side.

Divide $14$ by $2$ .

$y = 7$