∣y−3∣=7 \left| y - 3 \right| = 7 ∣y−3∣=7
To solve ∣y−3∣=7 \left| y - 3 \right| = 7 ∣y−3∣=7, we need to consider the two possible cases for the absolute value equation.
1. y−3=7 y - 3 = 7 y−3=7 leads to y=10 y = 10 y=10
2. y−3=−7 y - 3 = -7 y−3=−7 leads to y=−4 y = -4 y=−4
Thus, the solutions are y=10 y = 10 y=10 and y=−4 y = -4 y=−4.
y=10 y = 10 y=10,y=−4 y = -4 y=−4