Finite Math Examples

$4 y + 8 = 5 y - 5$

Step 1

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

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Step 1.1

Subtract $5 y$ from both sides of the equation.

$4 y + 8 - 5 y = - 5$

Step 1.2

Subtract $5 y$ from $4 y$ .

$- y + 8 = - 5$

Step 2

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

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Step 2.1

Subtract $8$ from both sides of the equation.

$- y = - 5 - 8$

Step 2.2

Subtract $8$ from $- 5$ .

$- y = - 13$

Step 3

Divide each term in $- y = - 13$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- y = - 13$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 13}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 13}{- 1}$

Step 3.2.2

Divide $y$ by $1$ .

$y = \frac{- 13}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 13$ by $- 1$ .

$y = 13$