Basic Math Examples

$- 6 y + 26 = - 4 (y - 9)$

Step 1

Simplify $- 4 (y - 9)$ .

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Step 1.1

Rewrite.

$- 6 y + 26 = 0 + 0 - 4 (y - 9)$

Step 1.2

Simplify by adding zeros.

$- 6 y + 26 = - 4 (y - 9)$

Step 1.3

Apply the distributive property.

$- 6 y + 26 = - 4 y - 4 \cdot - 9$

Step 1.4

Multiply $- 4$ by $- 9$ .

$- 6 y + 26 = - 4 y + 36$

Step 2

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

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Step 2.1

Add $4 y$ to both sides of the equation.

$- 6 y + 26 + 4 y = 36$

Step 2.2

Add $- 6 y$ and $4 y$ .

$- 2 y + 26 = 36$

Step 3

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

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Step 3.1

Subtract $26$ from both sides of the equation.

$- 2 y = 36 - 26$

Step 3.2

Subtract $26$ from $36$ .

$- 2 y = 10$

Step 4

Divide each term in $- 2 y = 10$ by $- 2$ and simplify.

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Step 4.1

Divide each term in $- 2 y = 10$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{10}{- 2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{10}{- 2}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{10}{- 2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $10$ by $- 2$ .

$y = - 5$