Question

Simplify 6 - 4[x + 1 - (y + 3)] + 5y

Answer 1

The student's mathematical expression is simplified using the distributive property and combining like terms to get the final answer of 14 - 4x + 9y.

Step-by-step explanation:

The student's question involves simplifying a mathematical expression using distributive property and combining like terms. The expression to simplify is 6 - 4[x + 1 - (y + 3)] + 5y.

Steps to simplify the expression:

1. Apply the distributive property to -4 across the expression in the brackets: -4(x) -4(1) + 4(y + 3).
2. Simplify inside the parentheses: -4x - 4 + 4y + 12.
3. Combine like terms within the entire expression: 6 - 4x - 4 + 4y + 12 + 5y.
4. Add/subtract constant terms and combine like terms: (6 - 4 + 12) + (-4x) + (4y + 5y).
5. The simplified result is: 14 - 4x + 9y.

Answer 2

-4x+9y+14 is the answer to the problem