-9y+[7+(6y-7)]

what is the algebraic expression in simplest form?

It is either a typo or the brackets are unnecessary

-9 y + 7 + 6 y - 7 = -3 y

-9y+[7+(6y-7)]

-9y+[7+6y-7]
-9y+7+6y-7 = -3y.

To simplify the algebraic expression -9y+[7+(6y-7)], we will follow the order of operations (also known as PEMDAS: Parentheses, Exponents, Multiplication and Division - from left to right, Addition and Subtraction - from left to right):

First, let's simplify the expression within the inner parentheses - (6y-7):

-9y + [7 + 6y - 7]

Next, combine like terms within the inner parentheses:

-9y + [6y]

Now, simplify the expression within the outer parentheses - [6y]:

-9y + 6y

Lastly, combine like terms:

-3y

Therefore, the simplified form of the algebraic expression -9y + [7 + (6y - 7)] is -3y.