Answer:
y = 39
Step-by-step explanation:
|y−43|−|y−35| =0
add |y−35| to each side
|y−43|= |y−35|
This tells us that y must be between 35 and 43
That means |y−35| is positive so we can remove the absolute value signs
|y−43| is negative so we negate each term ( or multiply by -1)
-y+43 = y - 35
Add y to each side
y-y+43 = y+y-35
43 = 2y -35
Add 35 to each side
43+35 = 2y
78 = 2y
Divide by 2
78/2 = 2y/2
39 = y
