Basic Math Examples

$10 y - 2 (- 4 + 3 y) = \frac{66 - 21 y}{- 3}$

Step 1

Cancel the common factor of $66 - 21 y$ and $- 3$ .

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Step 1.1

Factor $3$ out of $66$ .

$10 y - 2 (- 4 + 3 y) = \frac{3 (22) - 21 y}{- 3}$

Step 1.2

Factor $3$ out of $- 21 y$ .

$10 y - 2 (- 4 + 3 y) = \frac{3 (22) + 3 (- 7 y)}{- 3}$

Step 1.3

Factor $3$ out of $3 (22) + 3 (- 7 y)$ .

$10 y - 2 (- 4 + 3 y) = \frac{3 (22 - 7 y)}{- 3}$

Step 1.4

Move the negative one from the denominator of $\frac{22 - 7 y}{- 1}$ .

$10 y - 2 (- 4 + 3 y) = - 1 \cdot (22 - 7 y)$

Step 2

Solve for $y$ .

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Step 2.1

Simplify $10 y - 2 (- 4 + 3 y)$ .

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Step 2.1.1

Simplify each term.

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Step 2.1.1.1

Apply the distributive property.

$10 y - 2 \cdot - 4 - 2 (3 y) = - 1 \cdot (22 - 7 y)$

Step 2.1.1.2

Multiply $- 2$ by $- 4$ .

$10 y + 8 - 2 (3 y) = - 1 \cdot (22 - 7 y)$

Step 2.1.1.3

Multiply $3$ by $- 2$ .

$10 y + 8 - 6 y = - 1 \cdot (22 - 7 y)$

Step 2.1.2

Subtract $6 y$ from $10 y$ .

$4 y + 8 = - 1 \cdot (22 - 7 y)$

Step 2.2

Simplify $- 1 \cdot (22 - 7 y)$ .

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Step 2.2.1

Apply the distributive property.

$4 y + 8 = - 1 \cdot 22 - 1 (- 7 y)$

Step 2.2.2

Multiply.

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Step 2.2.2.1

Multiply $- 1$ by $22$ .

$4 y + 8 = - 22 - 1 (- 7 y)$

Step 2.2.2.2

Multiply $- 7$ by $- 1$ .

$4 y + 8 = - 22 + 7 y$

Step 2.3

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

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Step 2.3.1

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

$4 y + 8 - 7 y = - 22$

Step 2.3.2

Subtract $7 y$ from $4 y$ .

$- 3 y + 8 = - 22$

Step 2.4

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

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Step 2.4.1

Subtract $8$ from both sides of the equation.

$- 3 y = - 22 - 8$

Step 2.4.2

Subtract $8$ from $- 22$ .

$- 3 y = - 30$

Step 2.5

Divide each term in $- 3 y = - 30$ by $- 3$ and simplify.

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Step 2.5.1

Divide each term in $- 3 y = - 30$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{- 30}{- 3}$

Step 2.5.2

Simplify the left side.

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Step 2.5.2.1

Cancel the common factor of $- 3$ .

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Step 2.5.2.1.1

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{- 30}{- 3}$

Step 2.5.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 30}{- 3}$

Step 2.5.3

Simplify the right side.

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Step 2.5.3.1

Divide $- 30$ by $- 3$ .

$y = 10$