Answer:
y= ab if a≠b
Explanation:
y/a −b= y/b −a
multiply each side by ab to clear the fractions
ab(y/a −b) = ab( y/b −a)
distribute
ab * y/a - ab*b = ab * y/b - ab *a
b*y - ab^2 = ay -a^2 b
subtract ay on each side
by -ay -ab^2 = ay-ay -a^2b
by -ay -ab^2 =-a^2b
add ab^2 to each side
by-ay -ab^2 +ab^2 = ab^2 - a^2b
by-ay = ab^2 - a^2b
factor out the y on the left, factor out an ab on the right
y (b-a) = ab(b-a)
divide by (b-a)
y (b-a) /(b-a)= ab(b-a)/(b-a) b-a ≠0 or b≠a
y = ab