Question 1205196
That is  a system of equations; not an "elimination equation".


You can try multiplying your equation #2 by -2, and then add the corresponding members.


{{{system(-4x+3y=-14,4x+8y=36)}}}


Adding, find
{{{0x+11y=22}}}
{{{11y=22}}}
{{{highlight(y=2)}}}


If you want elimination to find for x, then at the original system, multiply #1 by 4 and multiply #2 by -3.  Then, add the corresponding members,...


Note that there is also another way for finding x.  Equation #2 can first be simplified as  {{{x+2y=9}}}.   Equivalent system can be shown as:
{{{system(-4x+3y=-14,x+2y=9)}}}.