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Step-by-step explanation:
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Step-by-step explanation:
1/6 [4y + 5] - 2/3[2y + 7] ---- Taking Just LHS
[opening brackets]
1/6*4y + 1/6*5 - 2/3*2y + 2/3*7
=4y/6 + 5/6 - 4y/3 + 14/3
[taking LCM=6]
= 4y + 5 - 8y + 28 / 6
= -4y + 33 / 6
[Now using it with RHS]
-4y + 33/6 = 3/2
[bringing 2 to LHS]
2[-4y+ 33/6] = 3
-8y + 33/3 = 3
-8y = 3-33/3
-8y = 9 - 33 / 3 [taking LCM = 3 on RHS]
-8y = -24/3
[ multiplying +1 on both sides]
8y = 24/3
y = 24/3 * 1/8
y = 1 [8*3 = 24; 3/3 = 1]
Hence, Value of y = 1
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