Basic Math Examples

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

Step 1

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

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

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

Step 1.1.2

Multiply $6$ by $3$ .

$6 y + 18 - 2 y = 2 (2 y + 1)$

$6 y + 18 - 2 y = 2 (2 y + 1)$

Step 1.2

Subtract $2 y$ from $6 y$ .

$4 y + 18 = 2 (2 y + 1)$

$4 y + 18 = 2 (2 y + 1)$

Step 2

Simplify $2 (2 y + 1)$ .

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Step 2.1

Apply the distributive property.

$4 y + 18 = 2 (2 y) + 2 \cdot 1$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $2$ by $2$ .

$4 y + 18 = 4 y + 2 \cdot 1$

Step 2.2.2

Multiply $2$ by $1$ .

$4 y + 18 = 4 y + 2$

$4 y + 18 = 4 y + 2$

$4 y + 18 = 4 y + 2$

Step 3

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

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Step 3.1

Subtract $4 y$ from both sides of the equation.

$4 y + 18 - 4 y = 2$

Step 3.2

Combine the opposite terms in $4 y + 18 - 4 y$ .

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Step 3.2.1

Subtract $4 y$ from $4 y$ .

$0 + 18 = 2$

Step 3.2.2

Add $0$ and $18$ .

$18 = 2$

$18 = 2$

$18 = 2$

Step 4

Since $18 \neq 2$ , there are no solutions.

No solution

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$