Basic Math Examples

$8 - 2 (3 - 4 y) = 7 y - 1$

Step 1

Simplify $8 - 2 (3 - 4 y)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$8 - 2 \cdot 3 - 2 (- 4 y) = 7 y - 1$

Step 1.1.2

Multiply $- 2$ by $3$ .

$8 - 6 - 2 (- 4 y) = 7 y - 1$

Step 1.1.3

Multiply $- 4$ by $- 2$ .

$8 - 6 + 8 y = 7 y - 1$

Step 1.2

Subtract $6$ from $8$ .

$2 + 8 y = 7 y - 1$

Step 2

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

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Step 2.1

Subtract $7 y$ from both sides of the equation.

$2 + 8 y - 7 y = - 1$

Step 2.2

Subtract $7 y$ from $8 y$ .

$2 + y = - 1$

Step 3

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

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Step 3.1

Subtract $2$ from both sides of the equation.

$y = - 1 - 2$

Step 3.2

Subtract $2$ from $- 1$ .

$y = - 3$