Basic Math Examples

$4 - (y - 1) = 3 (y + 2) - 6 y$

Step 1

Since $y$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$3 (y + 2) - 6 y = 4 - (y - 1)$

Step 2

Simplify $3 (y + 2) - 6 y$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$3 y + 3 \cdot 2 - 6 y = 4 - (y - 1)$

Step 2.1.2

Multiply $3$ by $2$ .

$3 y + 6 - 6 y = 4 - (y - 1)$

Step 2.2

Subtract $6 y$ from $3 y$ .

$- 3 y + 6 = 4 - (y - 1)$

Step 3

Simplify $4 - (y - 1)$ .

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Step 3.1

Simplify each term.

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Step 3.1.1

Apply the distributive property.

$- 3 y + 6 = 4 - y - - 1$

Step 3.1.2

Multiply $- 1$ by $- 1$ .

$- 3 y + 6 = 4 - y + 1$

Step 3.2

Add $4$ and $1$ .

$- 3 y + 6 = - y + 5$

Step 4

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

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Step 4.1

Add $y$ to both sides of the equation.

$- 3 y + 6 + y = 5$

Step 4.2

Add $- 3 y$ and $y$ .

$- 2 y + 6 = 5$

Step 5

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

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Step 5.1

Subtract $6$ from both sides of the equation.

$- 2 y = 5 - 6$

Step 5.2

Subtract $6$ from $5$ .

$- 2 y = - 1$

Step 6

Divide each term in $- 2 y = - 1$ by $- 2$ and simplify.

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Step 6.1

Divide each term in $- 2 y = - 1$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 1}{- 2}$

Step 6.2

Simplify the left side.

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Step 6.2.1

Cancel the common factor of $- 2$ .

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Step 6.2.1.1

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 1}{- 2}$

Step 6.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 1}{- 2}$

Step 6.3

Simplify the right side.

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Step 6.3.1

Dividing two negative values results in a positive value.

$y = \frac{1}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$y = \frac{1}{2}$

Decimal Form:

$y = 0.5$