Solve for y -4/7y=8/35

$- \frac{4}{7} y = \frac{8}{35}$

Multiply both sides of the equation by $- \frac{7}{4}$ .

$- \frac{7}{4} \cdot (- \frac{4}{7}) \cdot y = - \frac{7}{4} \cdot \frac{8}{35}$

Simplify both sides of the equation.

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Simplify $- \frac{7}{4} \cdot (- \frac{4}{7}) \cdot y$ .

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Cancel the common factor of $7$ .

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Move the leading negative in $- \frac{7}{4}$ into the numerator.

$\frac{- 7}{4} \cdot (- \frac{4}{7}) \cdot y = - \frac{7}{4} \cdot \frac{8}{35}$

Move the leading negative in $- \frac{4}{7}$ into the numerator.

$\frac{- 7}{4} \cdot \frac{- 4}{7} \cdot y = - \frac{7}{4} \cdot \frac{8}{35}$

Factor $7$ out of $- 7$ .

$\frac{7 (- 1)}{4} \cdot \frac{- 4}{7} \cdot y = - \frac{7}{4} \cdot \frac{8}{35}$

Cancel the common factor.

$\frac{7 \cdot - 1}{4} \cdot \frac{- 4}{7} \cdot y = - \frac{7}{4} \cdot \frac{8}{35}$

Rewrite the expression.

$\frac{- 1}{4} \cdot - 4 \cdot y = - \frac{7}{4} \cdot \frac{8}{35}$

Cancel the common factor of $4$ .

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Factor $4$ out of $- 4$ .

$\frac{- 1}{4} \cdot (4 (- 1)) \cdot y = - \frac{7}{4} \cdot \frac{8}{35}$

Cancel the common factor.

$\frac{- 1}{4} \cdot (4 \cdot - 1) \cdot y = - \frac{7}{4} \cdot \frac{8}{35}$

Rewrite the expression.

$- 1 \cdot - 1 \cdot y = - \frac{7}{4} \cdot \frac{8}{35}$

Multiply.

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Multiply $- 1$ by $- 1$ .

$1 \cdot y = - \frac{7}{4} \cdot \frac{8}{35}$

Multiply $y$ by $1$ .

$y = - \frac{7}{4} \cdot \frac{8}{35}$

Simplify $- \frac{7}{4} \cdot \frac{8}{35}$ .

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Cancel the common factor of $7$ .

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Move the leading negative in $- \frac{7}{4}$ into the numerator.

$y = \frac{- 7}{4} \cdot \frac{8}{35}$

Factor $7$ out of $- 7$ .

$y = \frac{7 (- 1)}{4} \cdot \frac{8}{35}$

Factor $7$ out of $35$ .

$y = \frac{7 \cdot - 1}{4} \cdot \frac{8}{7 \cdot 5}$

Cancel the common factor.

$y = \frac{7 \cdot - 1}{4} \cdot \frac{8}{7 \cdot 5}$

Rewrite the expression.

$y = \frac{- 1}{4} \cdot \frac{8}{5}$

Cancel the common factor of $4$ .

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Factor $4$ out of $8$ .

$y = \frac{- 1}{4} \cdot \frac{4 (2)}{5}$

Cancel the common factor.

$y = \frac{- 1}{4} \cdot \frac{4 \cdot 2}{5}$

Rewrite the expression.

$y = - 1 \cdot \frac{2}{5}$

Rewrite $- 1 (\frac{2}{5})$ as $- (\frac{2}{5})$ .

$y = - \frac{2}{5}$

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{2}{5}$

Decimal Form:

$y = - 0.4$

Solve for y -4/7y=8/35

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