Question 221171
{{{(5y+6)-(3+4y)=10}}}


{{{5y+6-3-4y=10}}}


{{{(5y-4y)+(6-3)=10}}}


{{{y+3=10}}}


Subtract 3 from both sides to get y


{{{y+3-3=10-3}}}


{{{y=7}}}


Check if {{{y=7}}} is solution to  original equation {{{(5y+6)-(3+4y)=10 or (5*7+6)-(3+4*7)=41-31=10}}} which is a true statement.


Answer is {{{y=7}}}.


I hope the above steps and explanation were helpful. 


For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry. 


Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.


Respectfully, 
Dr J