Solve for y -29=5y+6-12y

$- 29 = 5 y + 6 - 12 y$

Step 1

Rewrite the equation as $5 y + 6 - 12 y = - 29$ .

$5 y + 6 - 12 y = - 29$

Step 2

Subtract $12 y$ from $5 y$ .

$- 7 y + 6 = - 29$

Step 3

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

Subtract $6$ from both sides of the equation.

$- 7 y = - 29 - 6$

Subtract $6$ from $- 29$ .

$- 7 y = - 35$

Step 4

Divide each term in $- 7 y = - 35$ by $- 7$ and simplify.

Divide each term in $- 7 y = - 35$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{- 35}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{- 35}{- 7}$

Divide $y$ by $1$ .

$y = \frac{- 35}{- 7}$

Simplify the right side.

Divide $- 35$ by $- 7$ .

$y = 5$