Basic Math Examples

$8 y - (4 y + 5) = 23$

Step 1

Simplify $8 y - (4 y + 5)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$8 y - (4 y) - 1 \cdot 5 = 23$

Step 1.1.2

Multiply $4$ by $- 1$ .

$8 y - 4 y - 1 \cdot 5 = 23$

Step 1.1.3

Multiply $- 1$ by $5$ .

$8 y - 4 y - 5 = 23$

Step 1.2

Subtract $4 y$ from $8 y$ .

$4 y - 5 = 23$

Step 2

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

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Step 2.1

Add $5$ to both sides of the equation.

$4 y = 23 + 5$

Step 2.2

Add $23$ and $5$ .

$4 y = 28$

Step 3

Divide each term in $4 y = 28$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 y = 28$ by $4$ .

$\frac{4 y}{4} = \frac{28}{4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{28}{4}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{28}{4}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $28$ by $4$ .

$y = 7$