How do you solve #-13.6= - 2.4+ \frac { y } { 7}#?

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Answer 1 · 2017-05-23T17:21:27

See a solution process below:

First, add #color(red)(2.4)# to each side of the equation to isolate the #y# term while keeping the equation balanced:

#color(red)(2.4) - 13.6 = color(red)(2.4) - 2.4 + y/7#

#-11.2 = 0 + y/7#

#-11.2 = y/7#

Now, multiply each side of the equation by #color(red)(7)# to solve for #y# while keeping the equation balanced:

#color(red)(7) xx -11.2 = color(red)(7) xx y/7#

#-78.4 = cancel(color(red)(7)) xx y/color(red)(cancel(color(black)(7)))#

#-78.4 = y#

#y = -78.4#