Basic Math Examples

$5 - (3 - y - (4 + 2 y)) = 18 - y$

Step 1

Simplify $5 - (3 - y - (4 + 2 y))$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Simplify each term.

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Step 1.1.1.1

Apply the distributive property.

$5 - (3 - y - 1 \cdot 4 - (2 y)) = 18 - y$

Step 1.1.1.2

Multiply $- 1$ by $4$ .

$5 - (3 - y - 4 - (2 y)) = 18 - y$

Step 1.1.1.3

Multiply $2$ by $- 1$ .

$5 - (3 - y - 4 - 2 y) = 18 - y$

Step 1.1.2

Subtract $4$ from $3$ .

$5 - (- y - 1 - 2 y) = 18 - y$

Step 1.1.3

Subtract $2 y$ from $- y$ .

$5 - (- 3 y - 1) = 18 - y$

Step 1.1.4

Apply the distributive property.

$5 - (- 3 y) - - 1 = 18 - y$

Step 1.1.5

Multiply $- 3$ by $- 1$ .

$5 + 3 y - - 1 = 18 - y$

Step 1.1.6

Multiply $- 1$ by $- 1$ .

$5 + 3 y + 1 = 18 - y$

Step 1.2

Add $5$ and $1$ .

$3 y + 6 = 18 - y$

Step 2

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

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Step 2.1

Add $y$ to both sides of the equation.

$3 y + 6 + y = 18$

Step 2.2

Add $3 y$ and $y$ .

$4 y + 6 = 18$

Step 3

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

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Step 3.1

Subtract $6$ from both sides of the equation.

$4 y = 18 - 6$

Step 3.2

Subtract $6$ from $18$ .

$4 y = 12$

Step 4

Divide each term in $4 y = 12$ by $4$ and simplify.

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Step 4.1

Divide each term in $4 y = 12$ by $4$ .

$\frac{4 y}{4} = \frac{12}{4}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $4$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{12}{4}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{12}{4}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $12$ by $4$ .

$y = 3$