Basic Math Examples

$- 5 (y - 5) = 12 - 5 y + 13$

Step 1

Simplify $- 5 (y - 5)$ .

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Step 1.1

Rewrite.

$0 + 0 - 5 (y - 5) = 12 - 5 y + 13$

Step 1.2

Simplify by adding zeros.

$- 5 (y - 5) = 12 - 5 y + 13$

Step 1.3

Apply the distributive property.

$- 5 y - 5 \cdot - 5 = 12 - 5 y + 13$

Step 1.4

Multiply $- 5$ by $- 5$ .

$- 5 y + 25 = 12 - 5 y + 13$

Step 2

Add $12$ and $13$ .

$- 5 y + 25 = - 5 y + 25$

Step 3

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

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Step 3.1

Add $5 y$ to both sides of the equation.

$- 5 y + 25 + 5 y = 25$

Step 3.2

Combine the opposite terms in $- 5 y + 25 + 5 y$ .

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Step 3.2.1

Add $- 5 y$ and $5 y$ .

$0 + 25 = 25$

Step 3.2.2

Add $0$ and $25$ .

$25 = 25$

Step 4

Since $25 = 25$ , 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:

$(- \infty, \infty)$