Rewrite the expression without parentheses by distributing the minus sign to every term in the second set of parentheses before combining like terms.

After distributing the minus sign, group together the $y^2$ terms, the $y$ terms, and the constants, then add their coefficients.

In one expression line, type (4y^2 - 3y + 11) - (2y^2 + 5y - 7) exactly as given. Desmos will automatically simplify it and show an equivalent simplified expression beside it.

On separate lines, type each answer choice expression (for example, 2y^2 + 2y + 4, 6y^2 + 2y + 4, etc.). Use a table (add a table for each expression) and plug in a few values of $y$ like $0$, $1$, and $2$. The correct choice will produce the same outputs as the original expression for all tested $y$-values.

Start by writing out the expression and carefully remove the parentheses:

Distribute the minus sign to each term in the second parentheses:

Now the expression is:

Identify and group the like terms:

• $4y^2$ and $-2y^2$ are the $y^2$ terms.
• $-3y$ and $-5y$ are the $y$ terms.
• $11$ and $7$ are the constant terms.

So we can rewrite the expression as:

Now add the coefficients in each group:

• $4y^2 - 2y^2 = 2y^2$
• $-3y - 5y = -8y$
• $11 + 7 = 18$

Putting these together, the simplified expression is:

So the expression equivalent to $(4y^2 - 3y + 11) - (2y^2 + 5y - 7)$ is $2y^2 - 8y + 18$.