Solve -6-2y≥62y

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Example problems

Type your math problem... -6-2y≥62y

Question

Solve the inequality

y \leq - \frac{3}{32}

Alternative Form

y \in (- \infty, - \frac{3}{32}]

Evaluate

- 6 - 2 y \geq 62 y

Move the variable to the left side

- 6 - 2 y - 62 y \geq 0

Subtract the terms

More Steps

Evaluate

- 2 y - 62 y

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

(- 2 - 62) y

Subtract the numbers

- 64 y

- 6 - 64 y \geq 0

Move the constant to the right side

- 64 y \geq 0 + 6

Removing 0 doesn't change the value,so remove it from the expression

- 64 y \geq 6

Change the signs on both sides of the inequality and flip the inequality sign

64 y \leq - 6

Divide both sides

\frac{64 y}{64} \leq \frac{- 6}{64}

Divide the numbers

y \leq \frac{- 6}{64}

Solution

More Steps

Evaluate

\frac{- 6}{64}

Cancel out the common factor 2

\frac{- 3}{32}

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

- \frac{3}{32}

y \leq - \frac{3}{32}

Alternative Form

y \in (- \infty, - \frac{3}{32}]

Show Solution

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