Hi, there--



To simplify this expression, we need to pay attention to the order of operations. I'm going to step

through each simplification individually. You can certainly combine some of these steps if you choose. 



We have 

-(3x+y)-{4-[5y-(y-9x)-5]-5x}



Distribute the negative (really a -1) across the first set of parentheses. -(3x+y) is -3x-y.

-3x-y-{4-[5y-(y-9x)-5]-5x}



Distribute the negative across the other set of parentheses. -(y-9) is -y+9.

-3x-y-{4-[5y-y+9x-5]-5x}



Combine like terms inside the square brackets. 5y-y is 4y.

-3x-y-{4-[4y+9x-5]-5x}



Distribute the negative across the square brackets. -[4y+9x-5] is -4y-9x+5.

-3x-y-{4-4y-9x+5-5x}



Combine like terms inside the curly braces. {4-4y-9x+5-5x} is {9-4y-14x}.

-3x-y-{9-4y-14x}



Distribute the negative sign across the curly braces. -{9-4y-14x} is -9+4y+14x.

-3x-y+-9+4y+14x



Combine like terms.

11x+3y-9



Please email me if any part of the solution is unclear. I would appreciate the feedback and I'll do my

best to clear things up.



Thanks,

Ms.Figgy

math.in.the.vortex@gmail.com

 

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