Finite Math Examples

$16 (\frac{- 7 y}{8} + \frac{13}{2}) + 14 y = - 2$

Step 1

Simplify $16 (\frac{- 7 y}{8} + \frac{13}{2}) + 14 y$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Move the negative in front of the fraction.

$16 (- \frac{7 y}{8} + \frac{13}{2}) + 14 y = - 2$

Step 1.1.2

Apply the distributive property.

$16 (- \frac{7 y}{8}) + 16 (\frac{13}{2}) + 14 y = - 2$

Step 1.1.3

Cancel the common factor of $8$ .

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Step 1.1.3.1

Move the leading negative in $- \frac{7 y}{8}$ into the numerator.

$16 \frac{- 7 y}{8} + 16 (\frac{13}{2}) + 14 y = - 2$

Step 1.1.3.2

Factor $8$ out of $16$ .

$8 (2) \frac{- 7 y}{8} + 16 (\frac{13}{2}) + 14 y = - 2$

Step 1.1.3.3

Cancel the common factor.

$8 \cdot 2 \frac{- 7 y}{8} + 16 (\frac{13}{2}) + 14 y = - 2$

Step 1.1.3.4

Rewrite the expression.

$2 (- 7 y) + 16 (\frac{13}{2}) + 14 y = - 2$

Step 1.1.4

Multiply $- 7$ by $2$ .

$- 14 y + 16 (\frac{13}{2}) + 14 y = - 2$

Step 1.1.5

Cancel the common factor of $2$ .

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Step 1.1.5.1

Factor $2$ out of $16$ .

$- 14 y + 2 (8) \frac{13}{2} + 14 y = - 2$

Step 1.1.5.2

Cancel the common factor.

$- 14 y + 2 \cdot 8 \frac{13}{2} + 14 y = - 2$

Step 1.1.5.3

Rewrite the expression.

$- 14 y + 8 \cdot 13 + 14 y = - 2$

Step 1.1.6

Multiply $8$ by $13$ .

$- 14 y + 104 + 14 y = - 2$

Step 1.2

Combine the opposite terms in $- 14 y + 104 + 14 y$ .

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Step 1.2.1

Add $- 14 y$ and $14 y$ .

$0 + 104 = - 2$

Step 1.2.2

Add $0$ and $104$ .

$104 = - 2$

Step 2

Since $104 \neq - 2$ , there are no solutions.

No solution