Solve - 44/5 8/5 y-3y

Question

Simplify the expression

- \frac{427}{25} y

Evaluate

- \frac{44}{5} \times \frac{8}{5} y - 3 y

Multiply the terms

More Steps

Multiply the terms

- \frac{44}{5} \times \frac{8}{5} y

Multiply the terms

More Steps

Evaluate

\frac{44}{5} \times \frac{8}{5}

To multiply the fractions,multiply the numerators and denominators separately

\frac{44 \times 8}{5 \times 5}

Multiply the numbers

\frac{352}{5 \times 5}

Multiply the numbers

\frac{352}{25}

- \frac{352}{25} y

- \frac{352}{25} y - 3 y

Collect like terms by calculating the sum or difference of their coefficients

(- \frac{352}{25} - 3) y

Solution

More Steps

Evaluate

- \frac{352}{25} - 3

Reduce fractions to a common denominator

- \frac{352}{25} - \frac{3 \times 25}{25}

Write all numerators above the common denominator

\frac{- 352 - 3 \times 25}{25}

Multiply the numbers

\frac{- 352 - 75}{25}

Subtract the numbers

\frac{- 427}{25}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{427}{25}

- \frac{427}{25} y

Show Solution

y = 0

Evaluate

- \frac{44}{5} \times \frac{8}{5} y - 3 y

To find the roots of the expression,set the expression equal to 0

- \frac{44}{5} \times \frac{8}{5} y - 3 y = 0

Multiply the terms

More Steps

Multiply the terms

\frac{44}{5} \times \frac{8}{5} y

Multiply the terms

More Steps

Evaluate

\frac{44}{5} \times \frac{8}{5}

To multiply the fractions,multiply the numerators and denominators separately

\frac{44 \times 8}{5 \times 5}

Multiply the numbers

\frac{352}{5 \times 5}

Multiply the numbers

\frac{352}{25}

\frac{352}{25} y

- \frac{352}{25} y - 3 y = 0

Subtract the terms

More Steps

Simplify

- \frac{352}{25} y - 3 y

Collect like terms by calculating the sum or difference of their coefficients

(- \frac{352}{25} - 3) y

Subtract the numbers

More Steps

Evaluate

- \frac{352}{25} - 3

Reduce fractions to a common denominator

- \frac{352}{25} - \frac{3 \times 25}{25}

Write all numerators above the common denominator

\frac{- 352 - 3 \times 25}{25}

Multiply the numbers

\frac{- 352 - 75}{25}

Subtract the numbers

\frac{- 427}{25}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{427}{25}

- \frac{427}{25} y

- \frac{427}{25} y = 0

Change the signs on both sides of the equation

\frac{427}{25} y = 0

Solution

y = 0

Show Solution