Pre-Algebra Examples

$2 y + 9 (y - 4) = 52$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

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 1.2

Simplify the left side.

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Step 1.2.1

Simplify $2 y + 9 (y - 4)$ .

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Step 1.2.1.1

Simplify each term.

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Step 1.2.1.1.1

Apply the distributive property.

$2 y + 9 y + 9 \cdot - 4 = 52$

Step 1.2.1.1.2

Multiply $9$ by $- 4$ .

$2 y + 9 y - 36 = 52$

Step 1.2.1.2

Add $2 y$ and $9 y$ .

$11 y - 36 = 52$

Step 1.3

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

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Step 1.3.1

Add $36$ to both sides of the equation.

$11 y = 52 + 36$

Step 1.3.2

Add $52$ and $36$ .

$11 y = 88$

Step 1.4

Divide each term in $11 y = 88$ by $11$ and simplify.

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Step 1.4.1

Divide each term in $11 y = 88$ by $11$ .

$\frac{11 y}{11} = \frac{88}{11}$

Step 1.4.2

Simplify the left side.

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Step 1.4.2.1

Cancel the common factor of $11$ .

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Step 1.4.2.1.1

Cancel the common factor.

$\frac{11 y}{11} = \frac{88}{11}$

Step 1.4.2.1.2

Divide $y$ by $1$ .

$y = \frac{88}{11}$

Step 1.4.3

Simplify the right side.

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Step 1.4.3.1

Divide $88$ by $11$ .

$y = 8$

Step 2

Using the slope-intercept form, the y-intercept is $8$ .

$b = 8$

Step 3

y-intercept in point form.

$(0, 8)$

Step 4