Solve for y. -2(y - 11) ≤ 2 ______

Distribute -2: Distribute -2 across the parentheses in the inequality -2(y - 11) ≤ 2. -2 * y + -2 * (-11) ≤ 2 -2y + 22 ≤ 2Subtract 22: Subtract 22 from both sides of the inequality to isolate the term containing y. -2y + 22 - 22 ≤ 2 - 22 -2y ≤ -20Divide by -2: Divide both sides of the inequality by -2 to solve for y. Remember that dividing by a negative number reverses the inequality sign. -2y / -2 ≥ -20 / -2 y ≥ 10

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Solve for $y$ . $\newline$ $-2(y - 11) \leq 2$

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Algebra 1

Solve advanced linear inequalities

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Q. Solve for

y

\newline

-2(y - 11) \leq 2

Distribute $-2$ : Distribute $-2$ across the parentheses in the inequality $-2(y - 11) \leq 2$ .
$-2 \times y + -2 \times (-11) \leq 2$
$-2y + 22 \leq 2$
Subtract $22$ : Subtract $22$ from both sides of the inequality to isolate the term containing $y$ . $\newline$ $-2y + 22 - 22 \leq 2 - 22$ $\newline$ $-2y \leq -20$
Divide by $-2$ : Divide both sides of the inequality by $-2$ to solve for $y$ . Remember that dividing by a negative number reverses the inequality sign. $\newline$ $-2y / -2 \geq -20 / -2$ $\newline$ $y \geq 10$