How do you solve #\frac { 1} { 7} y + \frac { 1} { 8} y - \frac { 1} { 56} y = y - \frac { 3} { 8}#?

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Answer 1 · 2016-11-07T18:25:32

#y = 1/2#

Step 1) Put all like terms over a common denominator.
Step 2) Solve for #y# while keeping the equation balanced.

#(8/8)1/7y + (7/7)1/8y - 1/56y = 56/56y - 3/8#

#8/56y + 7/56y - 1/56y = 56y/56 - 3/8#

#14/56y = 56/56y - 3/8#

#14/56y - 14/56y + 3/8 = 56/56y - 3/8 - 14/56y + 3/8#

#3/8 = 56/56y - 14/56y#

#3/8 = 42/56y#

#(56/42)3/8 = (56/42)42/56y#

#1/2 = y#

Answer 2 · 2016-11-07T18:59:18

See calculation below.
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