Algebra Examples

$3 y + 5 - 8 y = 2 y - 7 - 4 y$

Step 1

Subtract $8 y$ from $3 y$ .

$- 5 y + 5 = 2 y - 7 - 4 y$

Step 2

Subtract $4 y$ from $2 y$ .

$- 5 y + 5 = - 2 y - 7$

Step 3

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

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Step 3.1

Add $2 y$ to both sides of the equation.

$- 5 y + 5 + 2 y = - 7$

Step 3.2

Add $- 5 y$ and $2 y$ .

$- 3 y + 5 = - 7$

Step 4

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

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Step 4.1

Subtract $5$ from both sides of the equation.

$- 3 y = - 7 - 5$

Step 4.2

Subtract $5$ from $- 7$ .

$- 3 y = - 12$

Step 5

Divide each term in $- 3 y = - 12$ by $- 3$ and simplify.

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Step 5.1

Divide each term in $- 3 y = - 12$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{- 12}{- 3}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 3$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{- 12}{- 3}$

Step 5.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 12}{- 3}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $- 12$ by $- 3$ .

$y = 4$