Question

37=|y+22l please help me this one is hard

Answer 1

y= 15 and y= -59

Explanation:

Given

37 = |y+22|

We have 2 possibilities

-what is inside the absolute value is positive

37 = y+22

-what is inside the absolute value is negative

37 = -(y+22), distribute the negative sign in parenthesis

37 = -y -22

Solve the 2 possibilities to find y:

-when what is inside the absolute value is positive

37 = y+22, subtract 22 from both sides of the equation

37-22 = y +22-22, combine like terms

15 =y

-when what is inside the absolute value is negative

37 = -y -22, add 22 to both sides

37+22 = -y -22+22, combine like terms

59 = -y, multiply both sides by -1

-59 =y

Solution:

y=15 and y=-59