Basic Math Examples

$2 y - 9 = 2 (y + 3)$

Step 1

Simplify $2 (y + 3)$ .

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Step 1.1

Rewrite.

$2 y - 9 = 0 + 0 + 2 (y + 3)$

Step 1.2

Simplify by adding zeros.

$2 y - 9 = 2 (y + 3)$

Step 1.3

Apply the distributive property.

$2 y - 9 = 2 y + 2 \cdot 3$

Step 1.4

Multiply $2$ by $3$ .

$2 y - 9 = 2 y + 6$

Step 2

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

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Step 2.1

Subtract $2 y$ from both sides of the equation.

$2 y - 9 - 2 y = 6$

Step 2.2

Combine the opposite terms in $2 y - 9 - 2 y$ .

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Step 2.2.1

Subtract $2 y$ from $2 y$ .

$0 - 9 = 6$

Step 2.2.2

Subtract $9$ from $0$ .

$- 9 = 6$

Step 3

Since $- 9 \neq 6$ , there are no solutions.

No solution