To solve the equation |y - 9| = 6, we need to consider two cases: when y - 9 is positive and when y - 9 is negative.
Case 1: y - 9 > 0
In this case, we have y - 9 = 6.
Solving for y, we add 9 to both sides of the equation:
y - 9 + 9 = 6 + 9
y = 15
Case 2: y - 9 < 0
In this case, we have -(y - 9) = 6.
Solving for y, we multiply both sides of the equation by -1 and distribute the negative sign:
y - 9 = -6
Adding 9 to both sides of the equation:
y - 9 + 9 = -6 + 9
y = 3
Therefore, the two solutions to the equation |y - 9| = 6 are y = 15 and y = 3.
Solve.
vertical bar y minus 9 vertical bar equals 6
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