Algebra Examples

$y = - 4 (4 x + 3) + 5 (6 x - 5)$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Simplify the right side.

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Step 2.1

Simplify $- 4 (4 x + 3) + 5 (6 x - 5)$ .

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Step 2.1.1

Simplify each term.

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Step 2.1.1.1

Apply the distributive property.

$y = - 4 (4 x) - 4 \cdot 3 + 5 (6 x - 5)$

Step 2.1.1.2

Multiply $4$ by $- 4$ .

$y = - 16 x - 4 \cdot 3 + 5 (6 x - 5)$

Step 2.1.1.3

Multiply $- 4$ by $3$ .

$y = - 16 x - 12 + 5 (6 x - 5)$

Step 2.1.1.4

Apply the distributive property.

$y = - 16 x - 12 + 5 (6 x) + 5 \cdot - 5$

Step 2.1.1.5

Multiply $6$ by $5$ .

$y = - 16 x - 12 + 30 x + 5 \cdot - 5$

Step 2.1.1.6

Multiply $5$ by $- 5$ .

$y = - 16 x - 12 + 30 x - 25$

Step 2.1.2

Simplify by adding terms.

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Step 2.1.2.1

Add $- 16 x$ and $30 x$ .

$y = 14 x - 12 - 25$

Step 2.1.2.2

Subtract $25$ from $- 12$ .

$y = 14 x - 37$