Basic Math Examples

$8 = - 4 (3 y + 3) + 13 y$

Step 1

Rewrite the equation as $- 4 (3 y + 3) + 13 y = 8$ .

$- 4 (3 y + 3) + 13 y = 8$

Step 2

Simplify $- 4 (3 y + 3) + 13 y$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- 4 (3 y) - 4 \cdot 3 + 13 y = 8$

Step 2.1.2

Multiply $3$ by $- 4$ .

$- 12 y - 4 \cdot 3 + 13 y = 8$

Step 2.1.3

Multiply $- 4$ by $3$ .

$- 12 y - 12 + 13 y = 8$

Step 2.2

Add $- 12 y$ and $13 y$ .

$y - 12 = 8$

Step 3

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

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Step 3.1

Add $12$ to both sides of the equation.

$y = 8 + 12$

Step 3.2

Add $8$ and $12$ .

$y = 20$