Basic Math Examples

$3 (y - 1) + 2 = 2 (y + 1)$

Step 1

Simplify $3 (y - 1) + 2$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$3 y + 3 \cdot - 1 + 2 = 2 (y + 1)$

Step 1.1.2

Multiply $3$ by $- 1$ .

$3 y - 3 + 2 = 2 (y + 1)$

Step 1.2

Add $- 3$ and $2$ .

$3 y - 1 = 2 (y + 1)$

Step 2

Simplify $2 (y + 1)$ .

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Step 2.1

Apply the distributive property.

$3 y - 1 = 2 y + 2 \cdot 1$

Step 2.2

Multiply $2$ by $1$ .

$3 y - 1 = 2 y + 2$

Step 3

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

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Step 3.1

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

$3 y - 1 - 2 y = 2$

Step 3.2

Subtract $2 y$ from $3 y$ .

$y - 1 = 2$

Step 4

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

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Step 4.1

Add $1$ to both sides of the equation.

$y = 2 + 1$

Step 4.2

Add $2$ and $1$ .

$y = 3$