Solve: 3(2y - 1) - 5y = 2(y + 1) - 2(y + 3).

1. Distribute and combine on the left: 3(2y - 1) - 5y becomes 6y - 3 - 5y, which simplifies to y - 3. 2. Distribute and combine on the right: 2(y + 1) - 2(y + 3) becomes 2y + 2 - 2y - 6, which simplifies to -4. 3. The equation is now y - 3 = -4. 4. Add 3 to both sides to get y = -1, and checking confirms both sides equal -4 when y is -1. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality_