Basic Math Examples

$\frac{4}{3} y + \frac{4}{3} y = - \frac{4}{3} - \frac{7}{3}$

Step 1

Simplify $\frac{4}{3} y + \frac{4}{3} y$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Combine $\frac{4}{3}$ and $y$ .

$\frac{4 y}{3} + \frac{4}{3} y = - \frac{4}{3} - \frac{7}{3}$

Step 1.1.2

Combine $\frac{4}{3}$ and $y$ .

$\frac{4 y}{3} + \frac{4 y}{3} = - \frac{4}{3} - \frac{7}{3}$

Step 1.2

Simplify terms.

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Step 1.2.1

Combine the numerators over the common denominator.

$\frac{4 y + 4 y}{3} = - \frac{4}{3} - \frac{7}{3}$

Step 1.2.2

Add $4 y$ and $4 y$ .

$\frac{8 y}{3} = - \frac{4}{3} - \frac{7}{3}$

Step 2

Simplify $- \frac{4}{3} - \frac{7}{3}$ .

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Step 2.1

Combine the numerators over the common denominator.

$\frac{8 y}{3} = \frac{- 4 - 7}{3}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Subtract $7$ from $- 4$ .

$\frac{8 y}{3} = \frac{- 11}{3}$

Step 2.2.2

Move the negative in front of the fraction.

$\frac{8 y}{3} = - \frac{11}{3}$

Step 3

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$8 y = - 11$

Step 4

Divide each term in $8 y = - 11$ by $8$ and simplify.

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Step 4.1

Divide each term in $8 y = - 11$ by $8$ .

$\frac{8 y}{8} = \frac{- 11}{8}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $8$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{8 y}{8} = \frac{- 11}{8}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 11}{8}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$y = - \frac{11}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{11}{8}$

Decimal Form:

$y = - 1.375$

Mixed Number Form:

$y = - 1 \frac{3}{8}$