To simplify the expression [tex]\( 18y - 13y \)[/tex] using the distributive property, follow these steps:
1. Identify the coefficients of [tex]\( y \)[/tex] in the expression. Here, they are 18 and -13.
2. Subtract the coefficient of the second term from the coefficient of the first term:
[tex]\[
18 - 13 = 5
\][/tex]
3. Apply this result to the variable [tex]\( y \)[/tex]:
[tex]\[
(18 - 13)y = 5y
\][/tex]
Therefore, the simplified expression is:
[tex]\[
18y - 13y = (18 - 13)y = 5y
\][/tex]
So, replacing the numerical expressions in the template given:
[tex]\[
18y - 13y = (18 - 13) y = 5 y
\][/tex]
Thus:
[tex]\[
18y - 13y = (18 - 13)y = 5y
\][/tex]
The final simplified form is:
[tex]\[
18y - 13y = 5y
\][/tex]
