Pre-Algebra Examples

$- 21 + 3 y = 4 y$

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

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

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Step 1.2.1

Subtract $4 y$ from both sides of the equation.

$- 21 + 3 y - 4 y = 0$

Step 1.2.2

Subtract $4 y$ from $3 y$ .

$- 21 - y = 0$

Step 1.3

Add $21$ to both sides of the equation.

$- y = 21$

Step 1.4

Divide each term in $- y = 21$ by $- 1$ and simplify.

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Step 1.4.1

Divide each term in $- y = 21$ by $- 1$ .

$\frac{- y}{- 1} = \frac{21}{- 1}$

Step 1.4.2

Simplify the left side.

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Step 1.4.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{21}{- 1}$

Step 1.4.2.2

Divide $y$ by $1$ .

$y = \frac{21}{- 1}$

Step 1.4.3

Simplify the right side.

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Step 1.4.3.1

Divide $21$ by $- 1$ .

$y = - 21$

Step 2

Using the slope-intercept form, the slope is $0$ .

$m = 0$

Step 3