Last visit was: 21 May 2026, 00:09 It is currently 21 May 2026, 00:09
Home
Messages
Tests
Schools
Events
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Events & Promotions
Back to Forum
Create Topic
555-605 (Medium)|   Algebra|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 20 May 2026
Posts: 110,757
Own Kudos:
816,037
 [2]
Given Kudos: 106,348
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 110,757
Kudos: 816,037
 [2]
If (4 - 2y)/(2 + y) = y, what is the value of y^2 + 4y + 4? 21 Aug 2019, 00:51
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

69% (01:20) correct 31% (02:10) wrong based on 87 sessions

History

Date
Time
Result
Not Attempted Yet
If \(\frac{4 - 2y}{2 + y} = y\), what is the value of \(y^2 + 4y + 4\)?

A. -4
B. -1
C. 0
D. 1
E. 8
ShowHide Answer
Official Answer
E
User avatar
Mohammadmo
User avatar
Joined: 29 Jun 2019
Last visit: 03 Nov 2022
Posts: 346
Own Kudos:
250
Given Kudos: 16
Posts: 346
Kudos: 250
If (4 - 2y)/(2 + y) = y, what is the value of y^2 + 4y + 4? 21 Aug 2019, 00:57
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Y^2+2Y=4-2Y
Y^2+4Y=4
So,Y^2+4Y+4=4+4=8
Option E

Posted from my mobile device
avatar
bratbg
avatar
Joined: 27 Mar 2019
Last visit: 19 Dec 2022
Posts: 71
Own Kudos:
20
Given Kudos: 225
Location: India
GMAT 1: 650 Q48 V32
GMAT 2: 680 Q49 V34
GPA: 3
GMAT 2: 680 Q49 V34
Posts: 71
Kudos: 20
If (4 - 2y)/(2 + y) = y, what is the value of y^2 + 4y + 4? 21 Aug 2019, 00:59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
4-2y = 2y+ y^2
Rearranging
y^2+4y = 4
Therefore
y^2 + 4y + 4 = 4+4 = 8
Hence IMO E is the answer.

Posted from my mobile device
User avatar
Kinshook
User avatar
Major Poster
Joined: 03 Jun 2019
Last visit: 21 May 2026
Posts: 6,005
Own Kudos:
5,880
Given Kudos: 163
Location: India
Schools: HBS '26 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
My Reviews
Schools: HBS '26 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
Posts: 6,005
Kudos: 5,880
If (4 - 2y)/(2 + y) = y, what is the value of y^2 + 4y + 4? 21 Aug 2019, 01:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If \(\frac{4 - 2y}{2 + y} = y\), what is the value of \(y^2 + 4y + 4\)?

A. -4
B. -1
C. 0
D. 1
E. 8
Show more

Given: \(\frac{4 - 2y}{2 + y} = y\)

Asked: What is the value of \(y^2 + 4y + 4\)?

\(\frac{4 - 2y}{2 + y} = y\)
\(\frac{4 - 2y}{2 + y} -y = 0\)
\(\frac{(4 - 2y)-(2y + y^2)}{(2 + y)y} = 0\)
\(\frac{(4 - 4y - y^2)}{(2 + y)y} = 0\)
\(y \neq 0\) and \(y \neq -2\)
\(4 - 4y - y^2 = 0\)
\(y^2 + 4y = 4\)
\(y^2 + 4y + 4 = 8\)

IMO E
Moderators:
Bunuel
Math Expert
110757 posts
Krunaal
Tuck School Moderator
852 posts