Basic Math Examples

$4 - 2 (y - 1) = 3 (y + 2) - 3$

Step 1

Simplify $4 - 2 (y - 1)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$4 - 2 y - 2 \cdot - 1 = 3 (y + 2) - 3$

Step 1.1.2

Multiply $- 2$ by $- 1$ .

$4 - 2 y + 2 = 3 (y + 2) - 3$

Step 1.2

Add $4$ and $2$ .

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

Step 2

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

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- 2 y + 6 = 3 y + 3 \cdot 2 - 3$

Step 2.1.2

Multiply $3$ by $2$ .

$- 2 y + 6 = 3 y + 6 - 3$

Step 2.2

Subtract $3$ from $6$ .

$- 2 y + 6 = 3 y + 3$

Step 3

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

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Step 3.1

Subtract $3 y$ from both sides of the equation.

$- 2 y + 6 - 3 y = 3$

Step 3.2

Subtract $3 y$ from $- 2 y$ .

$- 5 y + 6 = 3$

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.

$- 5 y = 3 - 6$

Step 4.2

Subtract $6$ from $3$ .

$- 5 y = - 3$

Step 5

Divide each term in $- 5 y = - 3$ by $- 5$ and simplify.

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Step 5.1

Divide each term in $- 5 y = - 3$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{- 3}{- 5}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 5$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{- 3}{- 5}$

Step 5.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 3}{- 5}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Dividing two negative values results in a positive value.

$y = \frac{3}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$y = \frac{3}{5}$

Decimal Form:

$y = 0.6$