Basic Math Examples

$3 z + 2 y + 2 a = 4 z - 2 y - 2 a$

Step 1

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

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Step 1.1

Add $2 y$ to both sides of the equation.

$3 z + 2 y + 2 a + 2 y = 4 z - 2 a$

Step 1.2

Add $2 y$ and $2 y$ .

$3 z + 2 a + 4 y = 4 z - 2 a$

Step 2

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

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Step 2.1

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

$2 a + 4 y = 4 z - 2 a - 3 z$

Step 2.2

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

$4 y = 4 z - 2 a - 3 z - 2 a$

Step 2.3

Subtract $3 z$ from $4 z$ .

$4 y = - 2 a + z - 2 a$

Step 2.4

Subtract $2 a$ from $- 2 a$ .

$4 y = - 4 a + z$

Step 3

Divide each term in $4 y = - 4 a + z$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 y = - 4 a + z$ by $4$ .

$\frac{4 y}{4} = \frac{- 4 a}{4} + \frac{z}{4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 4 a}{4} + \frac{z}{4}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 4 a}{4} + \frac{z}{4}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $- 4$ and $4$ .

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Step 3.3.1.1

Factor $4$ out of $- 4 a$ .

$y = \frac{4 (- a)}{4} + \frac{z}{4}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $4$ out of $4$ .

$y = \frac{4 (- a)}{4 (1)} + \frac{z}{4}$

Step 3.3.1.2.2

Cancel the common factor.

$y = \frac{4 (- a)}{4 \cdot 1} + \frac{z}{4}$

Step 3.3.1.2.3

Rewrite the expression.

$y = \frac{- a}{1} + \frac{z}{4}$

Step 3.3.1.2.4

Divide $- a$ by $1$ .

$y = - a + \frac{z}{4}$