Basic Math Examples

172 = 4 (1 - 7 y)

$172 = 4 (1 - 7 y)$

Step 1

Rewrite the equation as

4 (1 - 7 y) = 172

$4 (1 - 7 y) = 172$ .

4 (1 - 7 y) = 172

$4 (1 - 7 y) = 172$

Step 2

Divide each term in

4 (1 - 7 y) = 172

$4 (1 - 7 y) = 172$ by

4

$4$ and simplify.

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Step 2.1

Divide each term in

4 (1 - 7 y) = 172

$4 (1 - 7 y) = 172$ by

4

$4$ .

\frac{4 (1 - 7 y)}{4} = \frac{172}{4}

$\frac{4 (1 - 7 y)}{4} = \frac{172}{4}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

4

$4$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{4 (1 - 7 y)}{4} = \frac{172}{4}$

Step 2.2.1.2

Divide

$1 - 7 y$ by

$1$ .

$1 - 7 y = \frac{172}{4}$

$1 - 7 y = \frac{172}{4}$

$1 - 7 y = \frac{172}{4}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide

$172$ by

$4$ .

$1 - 7 y = 43$

$1 - 7 y = 43$

$1 - 7 y = 43$

Step 3

Move all terms not containing

$y$ to the right side of the equation.

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Step 3.1

Subtract

$1$ from both sides of the equation.

$- 7 y = 43 - 1$

Step 3.2

Subtract

$1$ from

$43$ .

$- 7 y = 42$

$- 7 y = 42$

Step 4

Divide each term in

$- 7 y = 42$ by

$- 7$ and simplify.

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Step 4.1

Divide each term in

$- 7 y = 42$ by

$- 7$ .

$\frac{- 7 y}{- 7} = \frac{42}{- 7}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of

$- 7$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{42}{- 7}$

Step 4.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{42}{- 7}$

$y = \frac{42}{- 7}$

$y = \frac{42}{- 7}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide

$42$ by

$- 7$ .

$y = - 6$

$y = - 6$

$y = - 6$

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