Question 270286
{{{9/2+(5/2)y=2y-4}}} Start with the given equation.



{{{cross(2)(9/cross(2))+cross(2)(5/cross(2))y=2*2y-2*4}}} Multiply EVERY term by the LCD 2 to clear out the fractions.



{{{9+5y=4y-8}}} Multiply and simplify.



{{{5y=4y-8-9}}} Subtract 9 from both sides.



{{{5y-4y=-8-9}}} Subtract 4y from both sides.



{{{y=-8-9}}} Combine like terms on the left side.



{{{y=-17}}} Combine like terms on the right side.



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Answer:

So the solution is {{{y=-17}}}