Solve for y (13y-15)-(9+6y)=-3y

$(13 y - 15) - (9 + 6 y) = - 3 y$

Step 1

Simplify $13 y - 15 - (9 + 6 y)$ .

Simplify each term.

Apply the distributive property.

$13 y - 15 - 1 \cdot 9 - (6 y) = - 3 y$

Multiply $- 1$ by $9$ .

$13 y - 15 - 9 - (6 y) = - 3 y$

Multiply $6$ by $- 1$ .

$13 y - 15 - 9 - 6 y = - 3 y$

Simplify by adding terms.

Subtract $6 y$ from $13 y$ .

$7 y - 15 - 9 = - 3 y$

Subtract $9$ from $- 15$ .

$7 y - 24 = - 3 y$

Step 2

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

Add $3 y$ to both sides of the equation.

$7 y - 24 + 3 y = 0$

Add $7 y$ and $3 y$ .

$10 y - 24 = 0$

Step 3

Add $24$ to both sides of the equation.

$10 y = 24$

Step 4

Divide each term in $10 y = 24$ by $10$ and simplify.

Divide each term in $10 y = 24$ by $10$ .

$\frac{10 y}{10} = \frac{24}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 y}{10} = \frac{24}{10}$

Divide $y$ by $1$ .

$y = \frac{24}{10}$

Simplify the right side.

Cancel the common factor of $24$ and $10$ .

Factor $2$ out of $24$ .

$y = \frac{2 (12)}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$y = \frac{2 \cdot 12}{2 \cdot 5}$

Cancel the common factor.

$y = \frac{2 \cdot 12}{2 \cdot 5}$

Rewrite the expression.

$y = \frac{12}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = \frac{12}{5}$

Decimal Form:

$y = 2.4$

Mixed Number Form:

$y = 2 \frac{2}{5}$

Solve for y (13y-15)-(9+6y)=-3y

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