Write an equivalent expression without parentheses and combine terms (if possible).

a. [tex]$ 3y + 3(y - 2.5) = \qquad $[/tex]

b. [tex]$ 6.25m + 9 + 3.75m - 12 = \qquad $[/tex]

c. [tex]$ 4.5a + 7 + 3.5a + 2 = \qquad $[/tex]

d. [tex]$ 0.5(-12p - 4) = \qquad $[/tex]

e. [tex]$ -6\left(m + \frac{1}{2}\right) = \qquad $[/tex]

f. [tex]$ 7(y + 7) - 11y = \qquad $[/tex]

Alright, let's simplify each provided expression step by step:

a. Simplify [tex]$3y + 3(y - 2.5)$[/tex]:

1. Distribute the [tex]$3$[/tex] to both terms inside the parentheses:
[tex]\[
3y + 3(y) - 3(2.5)
\][/tex]
2. This becomes:
[tex]\[
3y + 3y - 7.5
\][/tex]
3. Combine the like terms ([tex]$3y$[/tex] and [tex]$3y$[/tex]):
[tex]\[
6y - 7.5
\][/tex]

So, the simplified expression is:
[tex]\[
6y - 7.5
\][/tex]

b. Simplify [tex]$6.25m + 9 + 3.75m - 12$[/tex]:

1. Combine the like terms ([tex]$6.25m$[/tex] and [tex]$3.75m$[/tex]):
[tex]\[
(6.25 + 3.75)m + 9 - 12
\][/tex]
[tex]\[
10m + 9 - 12
\][/tex]
2. Combine the constants ([tex]$9$[/tex] and [tex]$-12$[/tex]):
[tex]\[
10m - 3
\][/tex]

So, the simplified expression is:
[tex]\[
10m - 3
\][/tex]

c. Simplify [tex]$4.5a + 7 + 3.5a + 2$[/tex]:

1. Combine the like terms ([tex]$4.5a$[/tex] and [tex]$3.5a$[/tex]):
[tex]\[
(4.5 + 3.5)a + 7 + 2
\][/tex]
[tex]\[
8a + 7 + 2
\][/tex]
2. Combine the constants ([tex]$7$[/tex] and [tex]$2$[/tex]):
[tex]\[
8a + 9
\][/tex]

So, the simplified expression is:
[tex]\[
8a + 9
\][/tex]

d. Simplify [tex]$0.5(-12p - 4)$[/tex]:

1. Distribute the [tex]$0.5$[/tex] to both terms inside the parentheses:
[tex]\[
0.5(-12p) + 0.5(-4)
\][/tex]
2. This becomes:
[tex]\[
-6p - 2
\][/tex]

So, the simplified expression is:
[tex]\[
-6p - 2
\][/tex]

e. Simplify [tex]$-6\left(m + \frac{1}{2}\right)$[/tex]:

1. Distribute the [tex]$-6$[/tex] to both terms inside the parentheses:
[tex]\[
-6(m) + -6\left(\frac{1}{2}\right)
\][/tex]
2. This becomes:
[tex]\[
-6m - 3
\][/tex]

So, the simplified expression is:
[tex]\[
-6m - 3
\][/tex]

f. Simplify [tex]$7(y + 7) - 11y$[/tex]:

1. Distribute the [tex]$7$[/tex] to both terms inside the parentheses:
[tex]\[
7(y) + 7(7) - 11y
\][/tex]
2. This becomes:
[tex]\[
7y + 49 - 11y
\][/tex]
3. Combine the like terms ([tex]$7y$[/tex] and [tex]$-11y$[/tex]):
[tex]\[
(7 - 11)y + 49
\][/tex]
[tex]\[
-4y + 49
\][/tex]

So, the simplified expression is:
[tex]\[
-4y + 49
\][/tex]