Algebra Examples

$5 - (y - 3) = 3 x$

Step 1

Simplify $5 - (y - 3)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$5 - y - - 3 = 3 x$

Step 1.1.2

Multiply $- 1$ by $- 3$ .

$5 - y + 3 = 3 x$

Step 1.2

Add $5$ and $3$ .

$- y + 8 = 3 x$

Step 2

Subtract $8$ from both sides of the equation.

$- y = 3 x - 8$

Step 3

Divide each term in $- y = 3 x - 8$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- y = 3 x - 8$ by $- 1$ .

$\frac{- y}{- 1} = \frac{3 x}{- 1} + \frac{- 8}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{3 x}{- 1} + \frac{- 8}{- 1}$

Step 3.2.2

Divide $y$ by $1$ .

$y = \frac{3 x}{- 1} + \frac{- 8}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Move the negative one from the denominator of $\frac{3 x}{- 1}$ .

$y = - 1 \cdot (3 x) + \frac{- 8}{- 1}$

Step 3.3.1.2

Rewrite $- 1 \cdot (3 x)$ as $- (3 x)$ .

$y = - (3 x) + \frac{- 8}{- 1}$

Step 3.3.1.3

Multiply $3$ by $- 1$ .

$y = - 3 x + \frac{- 8}{- 1}$

Step 3.3.1.4

Divide $- 8$ by $- 1$ .

$y = - 3 x + 8$