Basic Math Examples

5 y + 6 y - 81 = 7 y + 102 + 65 y

$5 y + 6 y - 81 = 7 y + 102 + 65 y$

Step 1

Add

5 y

$5 y$ and

6 y

$6 y$ .

11 y - 81 = 7 y + 102 + 65 y

$11 y - 81 = 7 y + 102 + 65 y$

Step 2

Add

7 y

$7 y$ and

65 y

$65 y$ .

11 y - 81 = 72 y + 102

$11 y - 81 = 72 y + 102$

Step 3

Move all terms containing

y

$y$ to the left side of the equation.

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Step 3.1

Subtract

72 y

$72 y$ from both sides of the equation.

11 y - 81 - 72 y = 102

$11 y - 81 - 72 y = 102$

Step 3.2

Subtract

72 y

$72 y$ from

11 y

$11 y$ .

- 61 y - 81 = 102

$- 61 y - 81 = 102$

- 61 y - 81 = 102

$- 61 y - 81 = 102$

Step 4

Move all terms not containing

y

$y$ to the right side of the equation.

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Step 4.1

Add

81

$81$ to both sides of the equation.

- 61 y = 102 + 81

$- 61 y = 102 + 81$

Step 4.2

Add

102

$102$ and

81

$81$ .

- 61 y = 183

$- 61 y = 183$

- 61 y = 183

$- 61 y = 183$

Step 5

Divide each term in

- 61 y = 183

$- 61 y = 183$ by

- 61

$- 61$ and simplify.

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Step 5.1

Divide each term in

- 61 y = 183

$- 61 y = 183$ by

- 61

$- 61$ .

\frac{- 61 y}{- 61} = \frac{183}{- 61}

$\frac{- 61 y}{- 61} = \frac{183}{- 61}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of

- 61

$- 61$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 61 y}{- 61} = \frac{183}{- 61}$

Step 5.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{183}{- 61}$

$y = \frac{183}{- 61}$

$y = \frac{183}{- 61}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide

$183$ by

$- 61$ .

$y = - 3$

$y = - 3$

$y = - 3$

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