You can put this solution on YOUR website! 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