Trigonometry Examples

$- 3 (y + 4) + 25 = 3 (5 - y)$

Step 1

Simplify $- 3 (y + 4) + 25$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- 3 y - 3 \cdot 4 + 25 = 3 (5 - y)$

Step 1.1.2

Multiply $- 3$ by $4$ .

$- 3 y - 12 + 25 = 3 (5 - y)$

Step 1.2

Add $- 12$ and $25$ .

$- 3 y + 13 = 3 (5 - y)$

Step 2

Simplify $3 (5 - y)$ .

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Step 2.1

Apply the distributive property.

$- 3 y + 13 = 3 \cdot 5 + 3 (- y)$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $3$ by $5$ .

$- 3 y + 13 = 15 + 3 (- y)$

Step 2.2.2

Multiply $- 1$ by $3$ .

$- 3 y + 13 = 15 - 3 y$

Step 3

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

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Step 3.1

Add $3 y$ to both sides of the equation.

$- 3 y + 13 + 3 y = 15$

Step 3.2

Combine the opposite terms in $- 3 y + 13 + 3 y$ .

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Step 3.2.1

Add $- 3 y$ and $3 y$ .

$0 + 13 = 15$

Step 3.2.2

Add $0$ and $13$ .

$13 = 15$

Step 4

Since $13 \neq 15$ , there are no solutions.

No solution