How do you solve #-\frac { 3} { 7} y - \frac { 5} { 3} = - \frac { 5} { 2}#?

1 Answer
Oct 31, 2017

#y=1 17/18#

Explanation:

Given
#color(white)("XXX")-3/7y-5/3=-5/2#

Multiply everything by #(-42)# to clear the denominators (and get rid of the minus signs)
#color(white)("XXX")18y+70=105#

Subtract #70# from both sides
#color(white)("XXX")18y=35#

Divide both sides by #18#
#color(white)("XXX")y=35/18 = 1 17/18#