Trigonometry Examples

$(y - 11) - (y + 10) = 4 y$

Step 1

Simplify $y - 11 - (y + 10)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$y - 11 - y - 1 \cdot 10 = 4 y$

Step 1.1.2

Multiply $- 1$ by $10$ .

$y - 11 - y - 10 = 4 y$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Combine the opposite terms in $y - 11 - y - 10$ .

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Step 1.2.1.1

Subtract $y$ from $y$ .

$0 - 11 - 10 = 4 y$

Step 1.2.1.2

Subtract $11$ from $0$ .

$- 11 - 10 = 4 y$

Step 1.2.2

Subtract $10$ from $- 11$ .

$- 21 = 4 y$

Step 2

Since $y$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$4 y = - 21$

Step 3

Divide each term in $4 y = - 21$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 y = - 21$ by $4$ .

$\frac{4 y}{4} = \frac{- 21}{4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 21}{4}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 21}{4}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$y = - \frac{21}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{21}{4}$

Decimal Form:

$y = - 5.25$

Mixed Number Form:

$y = - 5 \frac{1}{4}$