Solve for y y-7(y-7)=(-9y+12)-9

$y - 7 (y - 7) = (- 9 y + 12) - 9$

Step 1

Simplify $y - 7 (y - 7)$ .

Simplify each term.

Apply the distributive property.

$y - 7 y - 7 \cdot - 7 = - 9 y + 12 - 9$

Multiply $- 7$ by $- 7$ .

$y - 7 y + 49 = - 9 y + 12 - 9$

Subtract $7 y$ from $y$ .

$- 6 y + 49 = - 9 y + 12 - 9$

Step 2

Subtract $9$ from $12$ .

$- 6 y + 49 = - 9 y + 3$

Step 3

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

Add $9 y$ to both sides of the equation.

$- 6 y + 49 + 9 y = 3$

Add $- 6 y$ and $9 y$ .

$3 y + 49 = 3$

Step 4

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

Subtract $49$ from both sides of the equation.

$3 y = 3 - 49$

Subtract $49$ from $3$ .

$3 y = - 46$

Step 5

Divide each term in $3 y = - 46$ by $3$ and simplify.

Divide each term in $3 y = - 46$ by $3$ .

$\frac{3 y}{3} = \frac{- 46}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{- 46}{3}$

Divide $y$ by $1$ .

$y = \frac{- 46}{3}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{46}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{46}{3}$

Decimal Form:

$y = - 15.\overline{3}$

Mixed Number Form:

$y = - 15 \frac{1}{3}$

Solve for y y-7(y-7)=(-9y+12)-9

Related Questions

Support LCMGCF.com by disabling your adblocker.