Precalculus Examples

$(y - 7) - (y + 4) = 6 y$

Step 1

Simplify $y - 7 - (y + 4)$ .

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Apply the distributive property.

$y - 7 - y - 1 \cdot 4 = 6 y$

Step 1.1.2

Multiply $- 1$ by $4$ .

$y - 7 - y - 4 = 6 y$

Step 1.2

Simplify by adding terms.

Tap for more steps...

Step 1.2.1

Combine the opposite terms in $y - 7 - y - 4$ .

Tap for more steps...

Step 1.2.1.1

Subtract $y$ from $y$ .

$0 - 7 - 4 = 6 y$

Step 1.2.1.2

Subtract $7$ from $0$ .

$- 7 - 4 = 6 y$

Step 1.2.2

Subtract $4$ from $- 7$ .

$- 11 = 6 y$

Step 2

Since $y$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$6 y = - 11$

Step 3

Divide each term in $6 y = - 11$ by $6$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $6 y = - 11$ by $6$ .

$\frac{6 y}{6} = \frac{- 11}{6}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $6$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{6 y}{6} = \frac{- 11}{6}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 11}{6}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Move the negative in front of the fraction.

$y = - \frac{11}{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{11}{6}$

Decimal Form:

$y = - 1.8\overline{3}$

Mixed Number Form:

$y = - 1 \frac{5}{6}$