Pre-Algebra Examples

$- 4 (y + 6) + 37 = 4 (3 - y)$

Step 1

Simplify $- 4 (y + 6) + 37$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- 4 y - 4 \cdot 6 + 37 = 4 (3 - y)$

Step 1.1.2

Multiply $- 4$ by $6$ .

$- 4 y - 24 + 37 = 4 (3 - y)$

Step 1.2

Add $- 24$ and $37$ .

$- 4 y + 13 = 4 (3 - y)$

Step 2

Simplify $4 (3 - y)$ .

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Step 2.1

Apply the distributive property.

$- 4 y + 13 = 4 \cdot 3 + 4 (- y)$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $4$ by $3$ .

$- 4 y + 13 = 12 + 4 (- y)$

Step 2.2.2

Multiply $- 1$ by $4$ .

$- 4 y + 13 = 12 - 4 y$

Step 3

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

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Step 3.1

Add $4 y$ to both sides of the equation.

$- 4 y + 13 + 4 y = 12$

Step 3.2

Combine the opposite terms in $- 4 y + 13 + 4 y$ .

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Step 3.2.1

Add $- 4 y$ and $4 y$ .

$0 + 13 = 12$

Step 3.2.2

Add $0$ and $13$ .

$13 = 12$

Step 4

Since $13 \neq 12$ , there are no solutions.

No solution