Looks as tho' there are several possible answers, which you unfortunately have not shared. But anyway... We can rewrite y=3/4x−5/2y in standard form with confidence. Standard form here would be y = mx + b (slope-intercept form).
In y=3/4x−5/2y there are 2 terms in y. We need to combine them.
To do this, add (5/2)y to both sides. This results in:
y + (5/2)y = (3/4)x
Can you combine the coefficients of y into one fraction? 1 + (5/2) = ?
Result: (7/2)y = (3/4)x. Multiply both sides of this equation by (2/7) to solve the equation for y.
Note that there is another "standard form" for this equation; it looks like either Ax+By+C=0 or Ax+By=D. Can you put (7/2)y = (3/4)x into one of these forms?