Basic Math Examples

$6 (4 y - 9) = 2 (12 y + 4)$

Step 1

Simplify $6 (4 y - 9)$ .

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Step 1.1

Rewrite.

$0 + 0 + 6 (4 y - 9) = 2 (12 y + 4)$

Step 1.2

Simplify by adding zeros.

$6 (4 y - 9) = 2 (12 y + 4)$

Step 1.3

Apply the distributive property.

$6 (4 y) + 6 \cdot - 9 = 2 (12 y + 4)$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $4$ by $6$ .

$24 y + 6 \cdot - 9 = 2 (12 y + 4)$

Step 1.4.2

Multiply $6$ by $- 9$ .

$24 y - 54 = 2 (12 y + 4)$

Step 2

Simplify $2 (12 y + 4)$ .

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Step 2.1

Apply the distributive property.

$24 y - 54 = 2 (12 y) + 2 \cdot 4$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $12$ by $2$ .

$24 y - 54 = 24 y + 2 \cdot 4$

Step 2.2.2

Multiply $2$ by $4$ .

$24 y - 54 = 24 y + 8$

Step 3

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

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Step 3.1

Subtract $24 y$ from both sides of the equation.

$24 y - 54 - 24 y = 8$

Step 3.2

Combine the opposite terms in $24 y - 54 - 24 y$ .

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Step 3.2.1

Subtract $24 y$ from $24 y$ .

$0 - 54 = 8$

Step 3.2.2

Subtract $54$ from $0$ .

$- 54 = 8$

Step 4

Since $- 54 \neq 8$ , there are no solutions.

No solution