SOLUTION: how do i do this math problem ? 3(y+5)=8y

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Question 637856: how do i do this math problem ?
3(y+5)=8y
Answer by reviewermath(1029) 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=3.
  • Graphical form: Equation 3%2A%28y%2B5%29=8y was fully solved.
  • Text form: 3*(y+5)=8y simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+3%2A%28y%2B5%29=8y+%29
    For tutors: simplify_cartoon( 3*(y+5)=8y )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 3%2A%28y%2B5%29=highlight_red%28+8%2Ay+%29.
Moved these terms to the left highlight_green%28+-8%2Ay+%29
It becomes 3%2A%28y%2B5%29-highlight_green%28+8%2Ay+%29=0.
Look at highlight_red%28+3%2A%28y%2B5%29+%29-8%2Ay=0.
Expanded term 3 by using associative property on %28y%2B5%29
It becomes highlight_green%28+3%2Ay+%29%2Bhighlight_green%28+3%2A5+%29-8%2Ay=0.
Look at 3%2Ay%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+5+%29-8%2Ay=0.
Multiplied numerator integers
It becomes 3%2Ay%2Bhighlight_green%28+15+%29-8%2Ay=0.
Look at 3%2Ay%2Bhighlight_red%28+15+%29-8%2Ay=0.
Moved 15 to the right of expression
It becomes 3%2Ay-8%2Ay%2Bhighlight_green%28+15+%29=0.
Look at highlight_red%28+3%2Ay+%29-highlight_red%28+8%2Ay+%29%2B15=0.
Eliminated similar terms highlight_red%28+3%2Ay+%29,highlight_red%28+-8%2Ay+%29 replacing them with highlight_green%28+%283-8%29%2Ay+%29
It becomes highlight_green%28+%283-8%29%2Ay+%29%2B15=0.
Look at %28highlight_red%28+3+%29-highlight_red%28+8+%29%29%2Ay%2B15=0.
Added fractions or integers together
It becomes %28highlight_green%28+-5+%29%29%2Ay%2B15=0.
Look at %28highlight_red%28+-5+%29%29%2Ay%2B15=0.
Removed extra sign in front of -5
It becomes %28-highlight_green%28+5+%29%29%2Ay%2B15=0.
Look at highlight_red%28+%28-highlight_red%28+5+%29%29%2Ay+%29%2B15=0.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes -highlight_green%28+5+%29%2Ay%2B15=0.
Look at highlight_red%28+-5%2Ay%2B15+%29=0.
Solved linear equation highlight_red%28+-5%2Ay%2B15=0+%29 equivalent to -5*y+15 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: y=3.

Universal Simplifier and Solver


Done!