Basic Math Examples

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

Step 1

Simplify $2 (y - 3)$ .

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Step 1.1

Rewrite.

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

Step 1.2

Simplify by adding zeros.

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

Step 1.3

Apply the distributive property.

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

Step 1.4

Multiply $2$ by $- 3$ .

$2 y - 6 = y + 3$

Step 2

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

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Step 2.1

Subtract $y$ from both sides of the equation.

$2 y - 6 - y = 3$

Step 2.2

Subtract $y$ from $2 y$ .

$y - 6 = 3$

Step 3

Move all terms not containing $y$ to the right side of the equation.

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Step 3.1

Add $6$ to both sides of the equation.

$y = 3 + 6$

Step 3.2

Add $3$ and $6$ .

$y = 9$