How do you solve #\frac { y - 6} { y + 8} = \frac { 3} { 5}#?

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Answer 1 · 2017-07-01T04:59:42

#y=27#

#(y-6)/(y+8)=3/5#

Multiply both sides by #5(y+8)#.

#5(y+8)xx(y-6)/(y+8)=3/5xx5(y+8)#

#5(cancel(y+8))xx(y-6)/(1cancel(y+8))=3/(1cancel5)xx1cancel5(y+8)#

#5xx(y-6)=3xx(y+8)#

Open the brackets and simplify.

#5y-30=3y+24#

Subtract #3y# from each side.

#5y-3y-30=3y-3y+24#

Add #30# to each side.

#2y=24+30#

#2y=54#

Divide both sides by #2#.

#y=54/2#

#y=27#