Question 340248
From 3|y-4|+10=14, we wish to isolate the absolute value expression...

let us first subtract ten...

3|y-4| = 4

then divide by three...

|y-4| = 4/3

From here we go two ways:

y - 4 = 4/3   AND   y - 4 = -4/3

which we solve separately...

y = 4 + 4/3 = 16/3   AND  y = 4 - 4/3 = 8/3