Basic Math Examples

$4 - 4 y = - 2 (2 y - 2)$

Step 1

Simplify $- 2 (2 y - 2)$ .

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Step 1.1

Rewrite.

$4 - 4 y = 0 + 0 - 2 (2 y - 2)$

Step 1.2

Simplify by adding zeros.

$4 - 4 y = - 2 (2 y - 2)$

Step 1.3

Apply the distributive property.

$4 - 4 y = - 2 (2 y) - 2 \cdot - 2$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $2$ by $- 2$ .

$4 - 4 y = - 4 y - 2 \cdot - 2$

Step 1.4.2

Multiply $- 2$ by $- 2$ .

$4 - 4 y = - 4 y + 4$

Step 2

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

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Step 2.1

Add $4 y$ to both sides of the equation.

$4 - 4 y + 4 y = 4$

Step 2.2

Combine the opposite terms in $4 - 4 y + 4 y$ .

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Step 2.2.1

Add $- 4 y$ and $4 y$ .

$4 + 0 = 4$

Step 2.2.2

Add $4$ and $0$ .

$4 = 4$

Step 3

Since $4 = 4$ , the equation will always be true for any value of $y$ .

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$