Basic Math Examples

$- 6 y + 24 = - 2 (3 y + 7)$

Step 1

Simplify $- 2 (3 y + 7)$ .

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Step 1.1

Rewrite.

$- 6 y + 24 = 0 + 0 - 2 (3 y + 7)$

Step 1.2

Simplify by adding zeros.

$- 6 y + 24 = - 2 (3 y + 7)$

Step 1.3

Apply the distributive property.

$- 6 y + 24 = - 2 (3 y) - 2 \cdot 7$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $3$ by $- 2$ .

$- 6 y + 24 = - 6 y - 2 \cdot 7$

Step 1.4.2

Multiply $- 2$ by $7$ .

$- 6 y + 24 = - 6 y - 14$

Step 2

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

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Step 2.1

Add $6 y$ to both sides of the equation.

$- 6 y + 24 + 6 y = - 14$

Step 2.2

Combine the opposite terms in $- 6 y + 24 + 6 y$ .

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Step 2.2.1

Add $- 6 y$ and $6 y$ .

$0 + 24 = - 14$

Step 2.2.2

Add $0$ and $24$ .

$24 = - 14$

Step 3

Since $24 \neq - 14$ , there are no solutions.

No solution