Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - 3-8 Unions and Intersections of Sets - Mixed Review - Page 220: 52


$y=1\frac{1}{3}$ OR $y=-2\frac{2}{3}$

Work Step by Step

$3|3y+2|=18\longrightarrow$ divide each side by 3 $3|3y+2|\div3=18\div3\longrightarrow$ divide $|3y+2|=6\longrightarrow$ definition of absolute value $3y+2=6$ OR $3y+2=-6\longrightarrow$ subtract 2 from all parts $3y+2-2=6-2$ OR $3y+2-2=-6-2\longrightarrow$ subtract $3y=4$ OR $3y=-8\longrightarrow$ divide all parts by 3 $3y\div3=4\div3$ OR $3y\div3=-8\div3\longrightarrow$ divide $y=1\frac{1}{3}$ OR $y=-2\frac{2}{3}$
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