Basic Math Examples

$5 + 9 y - 1 = 9 y + 24 - 4 y$

Step 1

Since $y$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$9 y + 24 - 4 y = 5 + 9 y - 1$

Step 2

Subtract $4 y$ from $9 y$ .

$5 y + 24 = 5 + 9 y - 1$

Step 3

Subtract $1$ from $5$ .

$5 y + 24 = 9 y + 4$

Step 4

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

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Step 4.1

Subtract $9 y$ from both sides of the equation.

$5 y + 24 - 9 y = 4$

Step 4.2

Subtract $9 y$ from $5 y$ .

$- 4 y + 24 = 4$

Step 5

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

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Step 5.1

Subtract $24$ from both sides of the equation.

$- 4 y = 4 - 24$

Step 5.2

Subtract $24$ from $4$ .

$- 4 y = - 20$

Step 6

Divide each term in $- 4 y = - 20$ by $- 4$ and simplify.

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Step 6.1

Divide each term in $- 4 y = - 20$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 20}{- 4}$

Step 6.2

Simplify the left side.

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Step 6.2.1

Cancel the common factor of $- 4$ .

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Step 6.2.1.1

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 20}{- 4}$

Step 6.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 20}{- 4}$

Step 6.3

Simplify the right side.

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Step 6.3.1

Divide $- 20$ by $- 4$ .

$y = 5$