Basic Math Examples

$14 - 42 = 4 (y - 1) - 8$

Step 1

Rewrite the equation as $4 (y - 1) - 8 = 14 - 42$ .

$4 (y - 1) - 8 = 14 - 42$

Step 2

Simplify $4 (y - 1) - 8$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$4 y + 4 \cdot - 1 - 8 = 14 - 42$

Step 2.1.2

Multiply $4$ by $- 1$ .

$4 y - 4 - 8 = 14 - 42$

Step 2.2

Subtract $8$ from $- 4$ .

$4 y - 12 = 14 - 42$

Step 3

Subtract $42$ from $14$ .

$4 y - 12 = - 28$

Step 4

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

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Step 4.1

Add $12$ to both sides of the equation.

$4 y = - 28 + 12$

Step 4.2

Add $- 28$ and $12$ .

$4 y = - 16$

Step 5

Divide each term in $4 y = - 16$ by $4$ and simplify.

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Step 5.1

Divide each term in $4 y = - 16$ by $4$ .

$\frac{4 y}{4} = \frac{- 16}{4}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $4$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 16}{4}$

Step 5.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 16}{4}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $- 16$ by $4$ .

$y = - 4$