Algebra Examples

$6 - 4 (x + 1 - (y + 3)) + 5 y$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$6 - 4 (x + 1 - y - 1 \cdot 3) + 5 y$

Step 1.1.2

Multiply $- 1$ by $3$ .

$6 - 4 (x + 1 - y - 3) + 5 y$

$6 - 4 (x + 1 - y - 3) + 5 y$

Step 1.2

Subtract $3$ from $1$ .

$6 - 4 (x - y - 2) + 5 y$

Step 1.3

Apply the distributive property.

$6 - 4 x - 4 (- y) - 4 \cdot - 2 + 5 y$

Step 1.4

Simplify.

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Step 1.4.1

Multiply $- 1$ by $- 4$ .

$6 - 4 x + 4 y - 4 \cdot - 2 + 5 y$

Step 1.4.2

Multiply $- 4$ by $- 2$ .

$6 - 4 x + 4 y + 8 + 5 y$

$6 - 4 x + 4 y + 8 + 5 y$

$6 - 4 x + 4 y + 8 + 5 y$

Step 2

Simplify by adding terms.

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Step 2.1

Add $6$ and $8$ .

$- 4 x + 4 y + 14 + 5 y$

Step 2.2

Add $4 y$ and $5 y$ .

$- 4 x + 9 y + 14$

$- 4 x + 9 y + 14$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$