Basic Math Examples

$6 y + (16 - 2 y) = 4 (4 + y)$

Step 1

Subtract $2 y$ from $6 y$ .

$4 y + 16 = 4 (4 + y)$

Step 2

Simplify $4 (4 + y)$ .

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Step 2.1

Apply the distributive property.

$4 y + 16 = 4 \cdot 4 + 4 y$

Step 2.2

Multiply $4$ by $4$ .

$4 y + 16 = 16 + 4 y$

Step 3

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

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Step 3.1

Subtract $4 y$ from both sides of the equation.

$4 y + 16 - 4 y = 16$

Step 3.2

Combine the opposite terms in $4 y + 16 - 4 y$ .

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Step 3.2.1

Subtract $4 y$ from $4 y$ .

$0 + 16 = 16$

Step 3.2.2

Add $0$ and $16$ .

$16 = 16$

Step 4

Since $16 = 16$ , the equation will always be true for any value of $y$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$