Basic Math Examples

$14 (2 y + 7) = - 7 (3 y + 16)$

Step 1

Simplify $14 (2 y + 7)$ .

Tap for more steps...

Step 1.1

Rewrite.

$0 + 0 + 14 (2 y + 7) = - 7 (3 y + 16)$

Step 1.2

Simplify by adding zeros.

$14 (2 y + 7) = - 7 (3 y + 16)$

Step 1.3

Apply the distributive property.

$14 (2 y) + 14 \cdot 7 = - 7 (3 y + 16)$

Step 1.4

Multiply.

Tap for more steps...

Step 1.4.1

Multiply $2$ by $14$ .

$28 y + 14 \cdot 7 = - 7 (3 y + 16)$

Step 1.4.2

Multiply $14$ by $7$ .

$28 y + 98 = - 7 (3 y + 16)$

$28 y + 98 = - 7 (3 y + 16)$

$28 y + 98 = - 7 (3 y + 16)$

Step 2

Simplify $- 7 (3 y + 16)$ .

Tap for more steps...

Step 2.1

Apply the distributive property.

$28 y + 98 = - 7 (3 y) - 7 \cdot 16$

Step 2.2

Multiply.

Tap for more steps...

Step 2.2.1

Multiply $3$ by $- 7$ .

$28 y + 98 = - 21 y - 7 \cdot 16$

Step 2.2.2

Multiply $- 7$ by $16$ .

$28 y + 98 = - 21 y - 112$

$28 y + 98 = - 21 y - 112$

$28 y + 98 = - 21 y - 112$

Step 3

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

Tap for more steps...

Step 3.1

Add $21 y$ to both sides of the equation.

$28 y + 98 + 21 y = - 112$

Step 3.2

Add $28 y$ and $21 y$ .

$49 y + 98 = - 112$

$49 y + 98 = - 112$

Step 4

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

Tap for more steps...

Step 4.1

Subtract $98$ from both sides of the equation.

$49 y = - 112 - 98$

Step 4.2

Subtract $98$ from $- 112$ .

$49 y = - 210$

$49 y = - 210$

Step 5

Divide each term in $49 y = - 210$ by $49$ and simplify.

Tap for more steps...

Step 5.1

Divide each term in $49 y = - 210$ by $49$ .

$\frac{49 y}{49} = \frac{- 210}{49}$

Step 5.2

Simplify the left side.

Tap for more steps...

Step 5.2.1

Cancel the common factor of $49$ .

Tap for more steps...

Step 5.2.1.1

Cancel the common factor.

$\frac{49 y}{49} = \frac{- 210}{49}$

Step 5.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 210}{49}$

$y = \frac{- 210}{49}$

$y = \frac{- 210}{49}$

Step 5.3

Simplify the right side.

Tap for more steps...

Step 5.3.1

Cancel the common factor of $- 210$ and $49$ .

Tap for more steps...

Step 5.3.1.1

Factor $7$ out of $- 210$ .

$y = \frac{7 (- 30)}{49}$

Step 5.3.1.2

Cancel the common factors.

Tap for more steps...

Step 5.3.1.2.1

Factor $7$ out of $49$ .

$y = \frac{7 \cdot - 30}{7 \cdot 7}$

Step 5.3.1.2.2

Cancel the common factor.

$y = \frac{7 \cdot - 30}{7 \cdot 7}$

Step 5.3.1.2.3

Rewrite the expression.

$y = \frac{- 30}{7}$

$y = \frac{- 30}{7}$

$y = \frac{- 30}{7}$

Step 5.3.2

Move the negative in front of the fraction.

$y = - \frac{30}{7}$

$y = - \frac{30}{7}$

$y = - \frac{30}{7}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{30}{7}$

Decimal Form:

$y = - 4.\overline{285714}$

Mixed Number Form:

$y = - 4 \frac{2}{7}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$