Solve for y y-11+3y=6y+4

$y - 11 + 3 y = 6 y + 4$

Step 1

Add $y$ and $3 y$ .

$4 y - 11 = 6 y + 4$

Step 2

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

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

$4 y - 11 - 6 y = 4$

Subtract $6 y$ from $4 y$ .

$- 2 y - 11 = 4$

Step 3

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

Add $11$ to both sides of the equation.

$- 2 y = 4 + 11$

Add $4$ and $11$ .

$- 2 y = 15$

Step 4

Divide each term in $- 2 y = 15$ by $- 2$ and simplify.

Divide each term in $- 2 y = 15$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{15}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{15}{- 2}$

Divide $y$ by $1$ .

$y = \frac{15}{- 2}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{15}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{15}{2}$

Decimal Form:

$y = - 7.5$

Mixed Number Form:

$y = - 7 \frac{1}{2}$