Algebra Examples

$10 - 4 (3 - 2 y) = 8 y - 5$

Step 1

Simplify $10 - 4 (3 - 2 y)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$10 - 4 \cdot 3 - 4 (- 2 y) = 8 y - 5$

Step 1.1.2

Multiply $- 4$ by $3$ .

$10 - 12 - 4 (- 2 y) = 8 y - 5$

Step 1.1.3

Multiply $- 2$ by $- 4$ .

$10 - 12 + 8 y = 8 y - 5$

$10 - 12 + 8 y = 8 y - 5$

Step 1.2

Subtract $12$ from $10$ .

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

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

Step 2

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

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Step 2.1

Subtract $8 y$ from both sides of the equation.

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

Step 2.2

Combine the opposite terms in $- 2 + 8 y - 8 y$ .

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Step 2.2.1

Subtract $8 y$ from $8 y$ .

$- 2 + 0 = - 5$

Step 2.2.2

Add $- 2$ and $0$ .

$- 2 = - 5$

$- 2 = - 5$

$- 2 = - 5$

Step 3

Since $- 2 \neq - 5$ , there are no solutions.

No solution

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