SOLUTION: How do i solve this equation? 10y=2y-6y+7

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Question 18931: How do i solve this equation?
10y=2y-6y+7
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


  • This is an equation! Solutions: y=0.5.
  • Graphical form: Equation 10y=2y-6y%2B7 was fully solved.
  • Text form: 10y=2y-6y+7 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+10y=2y-6y%2B7+%29
    For tutors: simplify_cartoon( 10y=2y-6y+7 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 10%2Ay=highlight_red%28+2%2Ay+%29-highlight_red%28+6%2Ay+%29%2B7.
Eliminated similar terms highlight_red%28+2%2Ay+%29,highlight_red%28+-6%2Ay+%29 replacing them with highlight_green%28+%282-6%29%2Ay+%29
It becomes 10%2Ay=highlight_green%28+%282-6%29%2Ay+%29%2B7.
Look at 10%2Ay=%28highlight_red%28+2+%29-highlight_red%28+6+%29%29%2Ay%2B7.
Added fractions or integers together
It becomes 10%2Ay=%28highlight_green%28+-4+%29%29%2Ay%2B7.
Look at 10%2Ay=%28highlight_red%28+-4+%29%29%2Ay%2B7.
Removed extra sign in front of -4
It becomes 10%2Ay=%28-highlight_green%28+4+%29%29%2Ay%2B7.
Look at 10%2Ay=highlight_red%28+%28-highlight_red%28+4+%29%29%2Ay+%29%2B7.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes 10%2Ay=-highlight_green%28+4+%29%2Ay%2B7.
Look at 10%2Ay=highlight_red%28+-4%2Ay%2B7+%29.
Moved these terms to the left highlight_green%28+4%2Ay+%29,highlight_green%28+-7+%29
It becomes 10%2Ay%2Bhighlight_green%28+4%2Ay+%29-highlight_green%28+7+%29=0.
Look at highlight_red%28+10%2Ay+%29%2Bhighlight_red%28+4%2Ay+%29-7=0.
Eliminated similar terms highlight_red%28+10%2Ay+%29,highlight_red%28+4%2Ay+%29 replacing them with highlight_green%28+%2810%2B4%29%2Ay+%29
It becomes highlight_green%28+%2810%2B4%29%2Ay+%29-7=0.
Look at %28highlight_red%28+10+%29%2Bhighlight_red%28+4+%29%29%2Ay-7=0.
Added fractions or integers together
It becomes %28highlight_green%28+14+%29%29%2Ay-7=0.
Look at highlight_red%28+%28highlight_red%28+14+%29%29%2Ay+%29-7=0.
Remove unneeded parentheses around factor highlight_red%28+14+%29
It becomes highlight_green%28+14+%29%2Ay-7=0.
Look at highlight_red%28+14%2Ay-7+%29=0.
Solved linear equation highlight_red%28+14%2Ay-7=0+%29 equivalent to 14*y-7 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: y=0.5.

Universal Simplifier and Solver


Done!

Hope this helps!