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Math  /  Algebra

Question15+18y−10−4y+(6−y−8)15+18 y-10-4 y+(6-y-8)

Studdy Solution

STEP 1

1. The problem involves simplifying a linear expression.
2. We will combine like terms to simplify the expression.
3. Parentheses indicate terms that should be simplified first.

STEP 2

1. Simplify the expression inside the parentheses.
2. Combine like terms outside the parentheses.
3. Combine the results from steps 1 and 2.

STEP 3

Simplify the expression inside the parentheses:
(6−y−8) (6 - y - 8)
Combine the constants and the variable:
6−8−y=−2−y 6 - 8 - y = -2 - y

STEP 4

Combine like terms outside the parentheses:
15+18y−10−4y 15 + 18y - 10 - 4y
First, combine the constant terms:
15−10=5 15 - 10 = 5
Next, combine the y y terms:
18y−4y=14y 18y - 4y = 14y

STEP 5

Combine the results from steps 1 and 2:
5+14y+(−2−y) 5 + 14y + (-2 - y)
Combine the constants:
5−2=3 5 - 2 = 3
Combine the y y terms:
14y−y=13y 14y - y = 13y
Thus, the simplified expression is:
3+13y 3 + 13y
The simplified expression is 3+13y \boxed{3 + 13y} .

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