Basic Math Examples

$5 y - 3 (y - 2) = 6 (y + 1)$

Step 1

Simplify $5 y - 3 (y - 2)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$5 y - 3 y - 3 \cdot - 2 = 6 (y + 1)$

Step 1.1.2

Multiply $- 3$ by $- 2$ .

$5 y - 3 y + 6 = 6 (y + 1)$

Step 1.2

Subtract $3 y$ from $5 y$ .

$2 y + 6 = 6 (y + 1)$

Step 2

Simplify $6 (y + 1)$ .

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Step 2.1

Apply the distributive property.

$2 y + 6 = 6 y + 6 \cdot 1$

Step 2.2

Multiply $6$ by $1$ .

$2 y + 6 = 6 y + 6$

Step 3

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

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Step 3.1

Subtract $6 y$ from both sides of the equation.

$2 y + 6 - 6 y = 6$

Step 3.2

Subtract $6 y$ from $2 y$ .

$- 4 y + 6 = 6$

Step 4

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

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Step 4.1

Subtract $6$ from both sides of the equation.

$- 4 y = 6 - 6$

Step 4.2

Subtract $6$ from $6$ .

$- 4 y = 0$

Step 5

Divide each term in $- 4 y = 0$ by $- 4$ and simplify.

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Step 5.1

Divide each term in $- 4 y = 0$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{0}{- 4}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 4$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{0}{- 4}$

Step 5.2.1.2

Divide $y$ by $1$ .

$y = \frac{0}{- 4}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $0$ by $- 4$ .

$y = 0$