Solve the Inequality for y -3(y-1)<=21

$- 3 (y - 1) \leq 21$

Step 1

Divide each term in $- 3 (y - 1) \leq 21$ by $- 3$ and simplify.

Divide each term in $- 3 (y - 1) \leq 21$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 (y - 1)}{- 3} \geq \frac{21}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 (y - 1)}{- 3} \geq \frac{21}{- 3}$

Divide $y - 1$ by $1$ .

$y - 1 \geq \frac{21}{- 3}$

Simplify the right side.

Divide $21$ by $- 3$ .

$y - 1 \geq - 7$

Step 2

Move all terms not containing $y$ to the right side of the inequality.

Add $1$ to both sides of the inequality.

$y \geq - 7 + 1$

Add $- 7$ and $1$ .

$y \geq - 6$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$y \geq - 6$

Interval Notation:

$[- 6, \infty)$

Solve the Inequality for y -3(y-1)<=21

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