How do you solve #-6y + 19> 19- 5y#?

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Answer 1 · 2017-06-04T19:48:40

See a solution process below:

Add #color(red)(6y)# and subtract #color(blue)(19)# from each side of the equation to solve for #y# while keeping the inequality balanced:

#-6y + 19 + color(red)(6y) - color(blue)(19) > 19 - 5y + color(red)(6y) - color(blue)(19)#

#-6y + color(red)(6y) + 19 - color(blue)(19) > 19 - color(blue)(19) - 5y + color(red)(6y)#

#0 + 0 > 0 + (-5 + color(red)(6))y#

#0 > 1y#

#0 > y#

To state the solution in terms of #y# we can reverse or "flip" the entire inequality:

#y < 0#