Basic Math Examples

$26 + 3 y - 7 = 13 y - 11 - 4 y$

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.

$13 y - 11 - 4 y = 26 + 3 y - 7$

Step 2

Subtract $4 y$ from $13 y$ .

$9 y - 11 = 26 + 3 y - 7$

Step 3

Subtract $7$ from $26$ .

$9 y - 11 = 3 y + 19$

Step 4

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

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Step 4.1

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

$9 y - 11 - 3 y = 19$

Step 4.2

Subtract $3 y$ from $9 y$ .

$6 y - 11 = 19$

Step 5

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

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Step 5.1

Add $11$ to both sides of the equation.

$6 y = 19 + 11$

Step 5.2

Add $19$ and $11$ .

$6 y = 30$

Step 6

Divide each term in $6 y = 30$ by $6$ and simplify.

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Step 6.1

Divide each term in $6 y = 30$ by $6$ .

$\frac{6 y}{6} = \frac{30}{6}$

Step 6.2

Simplify the left side.

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Step 6.2.1

Cancel the common factor of $6$ .

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Step 6.2.1.1

Cancel the common factor.

$\frac{6 y}{6} = \frac{30}{6}$

Step 6.2.1.2

Divide $y$ by $1$ .

$y = \frac{30}{6}$

Step 6.3

Simplify the right side.

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Step 6.3.1

Divide $30$ by $6$ .

$y = 5$