SAT Question 911c415b: Equivalent Expressions answer and explanation with Desmos solution

Applying the distributive property to the expression yields $(7,532+100y^2)+(100y^2-1,100)$. Then adding together $7,532+100y^2$ and $100y^2-1,100$ and collecting like terms results in $200y^2+6,432$. This is written in the form $a{y}^2+b$, where $a=200$ and $b=6,432$. Therefore, $a+b=200+6,432=6,632$.