How do you solve # abs(y - 8) +6 =15#? Algebra Linear Inequalities and Absolute Value Absolute Value Equations 1 Answer Alan P. Apr 29, 2015 #abs(y-8) + 6 = 15# is equivalent to #abs(y-8) = 9# If #(y-8)# is negative this is equivalent to #8-y = 9# #y=-1# If #(y-8)>=0# this is equivalent to #y-8=9# #y=17# So #y epsilon {-1,17}# Answer link Related questions How can an absolute value equation have no solution? How can an absolute value equation have one solution? How do you solve absolute value equations? How do you solve #|x - 5| = 10#? How do you solve #8=3+|10y+5|#? How do you solve #8|x+6|=-48#? Can an absolute value equation ever have and infinite amount of solutions? What do you do when you have absolute values on both sides of the equations? How do you solve for m given #|\frac{m}{8}|=1#? How do you solve #3abs(-9 x-7)-2=13#? See all questions in Absolute Value Equations Impact of this question 1355 views around the world You can reuse this answer Creative Commons License