Basic Math Examples

$4 y - 3 (y - 4) = - (5 - y)$

Step 1

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

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$4 y - 3 y - 3 \cdot - 4 = - (5 - y)$

Step 1.1.2

Multiply $- 3$ by $- 4$ .

$4 y - 3 y + 12 = - (5 - y)$

$4 y - 3 y + 12 = - (5 - y)$

Step 1.2

Subtract $3 y$ from $4 y$ .

$y + 12 = - (5 - y)$

$y + 12 = - (5 - y)$

Step 2

Simplify $- (5 - y)$ .

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Step 2.1

Apply the distributive property.

$y + 12 = - 1 \cdot 5 - - y$

Step 2.2

Multiply $- 1$ by $5$ .

$y + 12 = - 5 - - y$

Step 2.3

Multiply $- - y$ .

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Step 2.3.1

Multiply $- 1$ by $- 1$ .

$y + 12 = - 5 + 1 y$

Step 2.3.2

Multiply $y$ by $1$ .

$y + 12 = - 5 + y$

$y + 12 = - 5 + y$

$y + 12 = - 5 + y$

Step 3

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

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Step 3.1

Subtract $y$ from both sides of the equation.

$y + 12 - y = - 5$

Step 3.2

Combine the opposite terms in $y + 12 - y$ .

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Step 3.2.1

Subtract $y$ from $y$ .

$0 + 12 = - 5$

Step 3.2.2

Add $0$ and $12$ .

$12 = - 5$

$12 = - 5$

$12 = - 5$

Step 4

Since $12 \neq - 5$ , there are no solutions.

No solution

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