Final answer:
To solve the equation (5y + 2)(y - 3) = -13(2 + y), you can start by expanding the left side of the equation using the distributive property. After combining like terms, move all the terms to one side of the equation and solve for y by factoring or using the quadratic formula.
Step-by-step explanation:
To solve the equation (5y + 2)(y - 3) = -13(2 + y), you can start by expanding the left side of the equation using the distributive property. This gives you 5y^2 - 15y + 2y - 6 = -26 - 13y. After combining like terms, you get 5y^2 - 13y - 6 = -13y - 26. Next, move all the terms to one side of the equation to get 5y^2 - 13y + 13y - 6 + 26 = 0. Simplifying further, you have 5y^2 + 20 = 0. Finally, solve for y by factoring or using the quadratic formula. In this case, the equation can be factored as (y + 2)(5y - 10) = 0, which gives you two solutions: y = -2 and y = 2.