Basic Math Examples

$2 y + 5 = 4 (y + 2) - y$

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.

$4 (y + 2) - y = 2 y + 5$

Step 2

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

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$4 y + 4 \cdot 2 - y = 2 y + 5$

Step 2.1.2

Multiply $4$ by $2$ .

$4 y + 8 - y = 2 y + 5$

Step 2.2

Subtract $y$ from $4 y$ .

$3 y + 8 = 2 y + 5$

Step 3

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

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Step 3.1

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

$3 y + 8 - 2 y = 5$

Step 3.2

Subtract $2 y$ from $3 y$ .

$y + 8 = 5$

Step 4

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

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Step 4.1

Subtract $8$ from both sides of the equation.

$y = 5 - 8$

Step 4.2

Subtract $8$ from $5$ .

$y = - 3$