Basic Math Examples

$4 y - 4 + y + 28 = 6 y + 30 - 3 y$

Step 1

Simplify $4 y - 4 + y + 28$ .

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Step 1.1

Add $4 y$ and $y$ .

$5 y - 4 + 28 = 6 y + 30 - 3 y$

Step 1.2

Add $- 4$ and $28$ .

$5 y + 24 = 6 y + 30 - 3 y$

Step 2

Subtract $3 y$ from $6 y$ .

$5 y + 24 = 3 y + 30$

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.

$5 y + 24 - 3 y = 30$

Step 3.2

Subtract $3 y$ from $5 y$ .

$2 y + 24 = 30$

Step 4

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

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Step 4.1

Subtract $24$ from both sides of the equation.

$2 y = 30 - 24$

Step 4.2

Subtract $24$ from $30$ .

$2 y = 6$

Step 5

Divide each term in $2 y = 6$ by $2$ and simplify.

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Step 5.1

Divide each term in $2 y = 6$ by $2$ .

$\frac{2 y}{2} = \frac{6}{2}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $2$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{6}{2}$

Step 5.2.1.2

Divide $y$ by $1$ .

$y = \frac{6}{2}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $6$ by $2$ .

$y = 3$