SOLUTION: 0.04y+0.12(500-y)=0.42y i stomped on linear equations with decimals in it.

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Question 22698: 0.04y+0.12(500-y)=0.42y
i stomped on linear equations with decimals in it.
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Here's what you tried:
  • This is an equation! Solutions: y=0.
  • Graphical form: Equation .04y%2B.12%2A%28500-y%29=.42y was fully solved.
  • Text form: .04y+.12*(500-y)=.42y simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+.04y%2B.12%2A%28500-y%29=.42y+%29
    For tutors: simplify_cartoon( .04y+.12*(500-y)=.42y )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .04%2Ay%2B.12%2A%28highlight_red%28+500+%29-y%29=.42y.
Moved 500 to the right of expression
It becomes .04%2Ay%2B.12%2A%28-y%2Bhighlight_green%28+500+%29%29=.42y.
Look at .04%2Ay%2B.12%2A%28-y%2B500%29=highlight_red%28+.42%2Ay+%29.
Moved these terms to the left highlight_green%28+-.42%2Ay+%29
It becomes .04%2Ay%2B.12%2A%28-y%2B500%29-highlight_green%28+.42%2Ay+%29=0.
Look at highlight_red%28+.04%2Ay+%29%2B.12%2A%28-y%2B500%29-highlight_red%28+.42%2Ay+%29=0.
Eliminated similar terms highlight_red%28+.04%2Ay+%29,highlight_red%28+-.42%2Ay+%29 replacing them with highlight_green%28+%28.04-.42%29%2Ay+%29
It becomes highlight_green%28+%28.04-.42%29%2Ay+%29%2B.12%2A%28-y%2B500%29=0.
Look at %28highlight_red%28+.04+%29-highlight_red%28+.42+%29%29%2Ay%2B.12%2A%28-y%2B500%29=0.
Replace constants in expression: highlight_red%28+.04+%29,highlight_red%28+-.42+%29 with highlight_green%28+-0.38+%29
It becomes %28highlight_green%28+-0.38+%29%29%2Ay%2B.12%2A%28-y%2B500%29=0.
Look at %28highlight_red%28+-0.38+%29%29%2Ay%2B.12%2A%28-y%2B500%29=0.
Removed extra sign in front of -0.38
It becomes %28-highlight_green%28+0.38+%29%29%2Ay%2B.12%2A%28-y%2B500%29=0.
Look at highlight_red%28+%28-highlight_red%28+0.38+%29%29%2Ay+%29%2B.12%2A%28-y%2B500%29=0.
Remove unneeded parentheses around factor highlight_red%28+0.38+%29
It becomes -highlight_green%28+0.38+%29%2Ay%2B.12%2A%28-y%2B500%29=0.
Look at -0.38%2Ay%2Bhighlight_red%28+.12%2A%28-y%2B500%29+%29=0.
Expanded term .12 by using associative property on %28-y%2B500%29
It becomes -0.38%2Ay-highlight_green%28+.12%2Ay+%29%2Bhighlight_green%28+.12%2A500+%29=0.
Look at -highlight_red%28+0.38%2Ay+%29-highlight_red%28+.12%2Ay+%29%2B.12%2A500=0.
Eliminated similar terms highlight_red%28+-0.38%2Ay+%29,highlight_red%28+-.12%2Ay+%29 replacing them with highlight_green%28+%28-0.38-.12%29%2Ay+%29
It becomes highlight_green%28+%28-0.38-.12%29%2Ay+%29%2B.12%2A500=0.
Look at %28-highlight_red%28+0.38+%29-highlight_red%28+.12+%29%29%2Ay%2B.12%2A500=0.
Replace constants in expression: highlight_red%28+-0.38+%29,highlight_red%28+-.12+%29 with highlight_green%28+-0.5+%29
It becomes %28highlight_green%28+-0.5+%29%29%2Ay%2B.12%2A500=0.
Look at %28highlight_red%28+-0.5+%29%29%2Ay%2B.12%2A500=0.
Removed extra sign in front of -0.5
It becomes %28-highlight_green%28+0.5+%29%29%2Ay%2B.12%2A500=0.
Look at highlight_red%28+%28-highlight_red%28+0.5+%29%29%2Ay+%29%2B.12%2A500=0.
Remove unneeded parentheses around factor highlight_red%28+0.5+%29
It becomes -highlight_green%28+0.5+%29%2Ay%2B.12%2A500=0.
Look at highlight_red%28+-0.5%2Ay%2B.12%2A500+%29=0.
Solved linear equation highlight_red%28+-0.5%2Ay%2B.12%2A500=0+%29 equivalent to -0.5*y =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: y=0.

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Done!

Hope this helps!