Solve for y 4y+15=6y-11

$4 y + 15 = 6 y - 11$

Step 1

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

Subtract $6 y$ from both sides of the equation.

$4 y + 15 - 6 y = - 11$

Subtract $6 y$ from $4 y$ .

$- 2 y + 15 = - 11$

Step 2

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

Subtract $15$ from both sides of the equation.

$- 2 y = - 11 - 15$

Subtract $15$ from $- 11$ .

$- 2 y = - 26$

Step 3

Divide each term in $- 2 y = - 26$ by $- 2$ and simplify.

Divide each term in $- 2 y = - 26$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 26}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 26}{- 2}$

Divide $y$ by $1$ .

$y = \frac{- 26}{- 2}$

Simplify the right side.

Divide $- 26$ by $- 2$ .

$y = 13$