7y=33-4y what is y?

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Answer 1 · 2018-05-14T14:10:14

See a solution process below:

First, add #color(red)(4y)# to each side of the equation to isolate the #y# term while keeping the equation balanced:

#7y + color(red)(4y) = 33 - 4y + color(red)(4y)#

#(7 + color(red)(4))y = 33 - 0#

#11y = 33#

Now, divide each side of the equation by #color(red)(11)# to solve for #y# while keeping the equation balanced:

#(11y)/color(red)(11) = 33/color(red)(11)#

#(color(red)(cancel(color(black)(11)))y)/cancel(color(red)(11)) = 3#

#y = 3#