Basic Math Examples

5 (2 y - 7) = - 2 y + 7

$5 (2 y - 7) = - 2 y + 7$

Step 1

Simplify

5 (2 y - 7)

$5 (2 y - 7)$ .

Tap for more steps...

Step 1.1

Rewrite.

0 + 0 + 5 (2 y - 7) = - 2 y + 7

$0 + 0 + 5 (2 y - 7) = - 2 y + 7$

Step 1.2

Simplify by adding zeros.

5 (2 y - 7) = - 2 y + 7

$5 (2 y - 7) = - 2 y + 7$

Step 1.3

Apply the distributive property.

5 (2 y) + 5 \cdot - 7 = - 2 y + 7

$5 (2 y) + 5 \cdot - 7 = - 2 y + 7$

Step 1.4

Multiply.

Tap for more steps...

Step 1.4.1

Multiply

2

$2$ by

5

$5$ .

10 y + 5 \cdot - 7 = - 2 y + 7

$10 y + 5 \cdot - 7 = - 2 y + 7$

Step 1.4.2

Multiply

5

$5$ by

- 7

$- 7$ .

10 y - 35 = - 2 y + 7

$10 y - 35 = - 2 y + 7$

10 y - 35 = - 2 y + 7

$10 y - 35 = - 2 y + 7$

10 y - 35 = - 2 y + 7

$10 y - 35 = - 2 y + 7$

Step 2

Move all terms containing

y

$y$ to the left side of the equation.

Tap for more steps...

Step 2.1

Add

2 y

$2 y$ to both sides of the equation.

10 y - 35 + 2 y = 7

$10 y - 35 + 2 y = 7$

Step 2.2

Add

10 y

$10 y$ and

2 y

$2 y$ .

12 y - 35 = 7

$12 y - 35 = 7$

12 y - 35 = 7

$12 y - 35 = 7$

Step 3

Move all terms not containing

y

$y$ to the right side of the equation.

Tap for more steps...

Step 3.1

Add

35

$35$ to both sides of the equation.

12 y = 7 + 35

$12 y = 7 + 35$

Step 3.2

Add

7

$7$ and

35

$35$ .

12 y = 42

$12 y = 42$

12 y = 42

$12 y = 42$

Step 4

Divide each term in

12 y = 42

$12 y = 42$ by

12

$12$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in

12 y = 42

$12 y = 42$ by

12

$12$ .

\frac{12 y}{12} = \frac{42}{12}

$\frac{12 y}{12} = \frac{42}{12}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of

12

$12$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{12 y}{12} = \frac{42}{12}$

Step 4.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{42}{12}$

$y = \frac{42}{12}$

$y = \frac{42}{12}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Cancel the common factor of

$42$ and

$12$ .

Tap for more steps...

Step 4.3.1.1

Factor

$6$ out of

$42$ .

$y = \frac{6 (7)}{12}$

Step 4.3.1.2

Cancel the common factors.

Tap for more steps...

Step 4.3.1.2.1

Factor

$6$ out of

$12$ .

$y = \frac{6 \cdot 7}{6 \cdot 2}$

Step 4.3.1.2.2

Cancel the common factor.

$y = \frac{6 \cdot 7}{6 \cdot 2}$

Step 4.3.1.2.3

Rewrite the expression.

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

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

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

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

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = 3.5$

Mixed Number Form:

$y = 3 \frac{1}{2}$

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