Basic Math Examples

$2 (3 y - 4) = 6 y + 2$

Step 1

Simplify $2 (3 y - 4)$ .

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Step 1.1

Rewrite.

$0 + 0 + 2 (3 y - 4) = 6 y + 2$

Step 1.2

Simplify by adding zeros.

$2 (3 y - 4) = 6 y + 2$

Step 1.3

Apply the distributive property.

$2 (3 y) + 2 \cdot - 4 = 6 y + 2$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $3$ by $2$ .

$6 y + 2 \cdot - 4 = 6 y + 2$

Step 1.4.2

Multiply $2$ by $- 4$ .

$6 y - 8 = 6 y + 2$

Step 2

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

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Step 2.1

Subtract $6 y$ from both sides of the equation.

$6 y - 8 - 6 y = 2$

Step 2.2

Combine the opposite terms in $6 y - 8 - 6 y$ .

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Step 2.2.1

Subtract $6 y$ from $6 y$ .

$0 - 8 = 2$

Step 2.2.2

Subtract $8$ from $0$ .

$- 8 = 2$

Step 3

Since $- 8 \neq 2$ , there are no solutions.

No solution