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can you solve 4(y-2)=3(y+5) in the shortest way ?

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1 Answer

4(y-2)=3(y+5)         step1: expand to get...

4y - 8 = 3y + 15                  step2: combine like terms...

4y - 3y = 15 + 8                  step3: calculate

y= 23

 

Detailed steps

4(y-2) = 3(y+5)                              Expand to get:    4y - 8 = 3y + 15
 
4y - 8 = 3y + 15                             Subtract "3y" from each side: 4y - 3y - 8 = 3y - 3y + 15
 
4y - 3y - 8 = 3y - 3y + 15                You are left with: 4y - 3y - 8 = 15
 
4y - 3y - 8 = 15                               Subtract "3y" from "4y" to get: y - 8 = 15
 
y - 8 = 15                                       Add "8" to each side: y - 8 + 8 = 15 + 8
 
y - 8 + 8 = 15 + 8                           Your answer is: y = 15 + 8 or y = 23