Answer
$2\leq y$
Work Step by Step
$-4\leq4(6y-12)-2y$ $\longrightarrow$ multiply using the distributive property
$-4\leq24y-48-2y$ $\longrightarrow$ combine like terms
$-4\leq22y-48$ $\longrightarrow$ add 48 to both sides
$-4+48\leq22y-48+48$ $\longrightarrow$ simplify
$44\leq22y$ $\longrightarrow$ divide both sides by 22
$44\div22\leq22y\div22$ $\longrightarrow$ simplify
$2\leq y$
Check the endpoint.
$-4=4(6(2)-12)-2(2)$
$-4=4(12-12)-4$
$-4=4(0)-4$
$-4=-4\checkmark$
Check the inequality.
$-4\lt(6(4)-12)-2(4)$
$-4\lt(24-12)-8$
$-4\lt12-8$
$-4\lt4\checkmark$
