# Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.1 - Factoring by Using the Distributive Property - Problem Set 6.1: 67

$y = 0, \frac{3}{2}$

#### Work Step by Step

1. Factor out $y$ from the equation and then set each factor equal to zero to solve: $2y^{2} - 3y = 0$ $y(2y - 3) = 0$ $2y - 3 = 0$ $2y = 3$ $y = \frac{3}{2}$ $y = 0, \frac{3}{2}$

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