SOLUTION: -(2y+1)=8(y+2)-7

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Question 382791: -(2y+1)=8(y+2)-7
Answer by ichudov(507) 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=-1.
  • Graphical form: Equation -%282y%2B1%29=8%2A%28y%2B2%29-7 was fully solved.
  • Text form: -(2y+1)=8*(y+2)-7 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-%282y%2B1%29=8%2A%28y%2B2%29-7+%29
    For tutors: simplify_cartoon( -(2y+1)=8*(y+2)-7 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -highlight_red%28+%282%2Ay%2B1%29+%29=8%2A%28y%2B2%29-7.
Remove unneeded parentheses around terms highlight_red%28+-2%2Ay+%29,highlight_red%28+-1+%29
It becomes -highlight_green%28+2%2Ay+%29-highlight_green%28+1+%29=8%2A%28y%2B2%29-7.
Look at -2%2Ay-1=highlight_red%28+8%2A%28y%2B2%29-7+%29.
Moved these terms to the left highlight_green%28+-8%2A%28y%2B2%29+%29,highlight_green%28+7+%29
It becomes -2%2Ay-1-highlight_green%28+8%2A%28y%2B2%29+%29%2Bhighlight_green%28+7+%29=0.
Look at -2%2Ay-highlight_red%28+1+%29-8%2A%28y%2B2%29%2Bhighlight_red%28+7+%29=0.
Added fractions or integers together
It becomes -2%2Ay%2Bhighlight_green%28+6+%29-8%2A%28y%2B2%29=0.
Look at -2%2Ay%2Bhighlight_red%28+6+%29-8%2A%28y%2B2%29=0.
Moved 6 to the right of expression
It becomes -2%2Ay-8%2A%28y%2B2%29%2Bhighlight_green%28+6+%29=0.
Look at -2%2Ay-highlight_red%28+8%2A%28y%2B2%29+%29%2B6=0.
Expanded term -8 by using associative property on %28y%2B2%29
It becomes -2%2Ay-highlight_green%28+8%2Ay+%29-highlight_green%28+8%2A2+%29%2B6=0.
Look at -2%2Ay-8%2Ay-highlight_red%28+8+%29%2Ahighlight_red%28+2+%29%2B6=0.
Multiplied numerator integers
It becomes -2%2Ay-8%2Ay-highlight_green%28+16+%29%2B6=0.
Look at -2%2Ay-8%2Ay-highlight_red%28+16+%29%2Bhighlight_red%28+6+%29=0.
Added fractions or integers together
It becomes -2%2Ay-8%2Ay%2Bhighlight_green%28+-10+%29=0.
Look at -2%2Ay-8%2Ay%2Bhighlight_red%28+-10+%29=0.
Removed extra sign in front of -10
It becomes -2%2Ay-8%2Ay-highlight_green%28+10+%29=0.
Look at -highlight_red%28+2%2Ay+%29-highlight_red%28+8%2Ay+%29-10=0.
Eliminated similar terms highlight_red%28+-2%2Ay+%29,highlight_red%28+-8%2Ay+%29 replacing them with highlight_green%28+%28-2-8%29%2Ay+%29
It becomes highlight_green%28+%28-2-8%29%2Ay+%29-10=0.
Look at %28-highlight_red%28+2+%29-highlight_red%28+8+%29%29%2Ay-10=0.
Added fractions or integers together
It becomes %28highlight_green%28+-10+%29%29%2Ay-10=0.
Look at %28highlight_red%28+-10+%29%29%2Ay-10=0.
Removed extra sign in front of -10
It becomes %28-highlight_green%28+10+%29%29%2Ay-10=0.
Look at highlight_red%28+%28-highlight_red%28+10+%29%29%2Ay+%29-10=0.
Remove unneeded parentheses around factor highlight_red%28+10+%29
It becomes -highlight_green%28+10+%29%2Ay-10=0.
Look at highlight_red%28+-10%2Ay-10+%29=0.
Solved linear equation highlight_red%28+-10%2Ay-10=0+%29 equivalent to -10*y-10 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: y=-1.

Universal Simplifier and Solver


Done!