College

Solve the following expression for \( y \):

\[
\begin{array}{l}
1 \cdot y - 2060 = 1006 \cdot 305 + 45
\end{array}
\]

Find \( y \) when the expression equals \( 50 \cdot 29000 \).

Answer :

Sure, let's work through the problem step-by-step:

1. First, we are given that [tex]\( y = 2060 \)[/tex]. This value is straightforward.

2. Next, we calculate the product of 1006 and 305:
[tex]\[
1006 \times 305 = 306830
\][/tex]

3. The next given value is 45.

4. We add the results from steps 2 and 3 together:
[tex]\[
306830 + 45 = 306875
\][/tex]

5. We add 50 and 29000 together:
[tex]\[
50 + 29000 = 29050
\][/tex]

6. Finally, we compute the expression [tex]\( 12006 + 1 - 2500 \)[/tex]:
[tex]\[
12006 + 1 = 12007
\][/tex]
[tex]\[
12007 - 2500 = 9507
\][/tex]

So, summarizing all the calculated values:

- [tex]\( y = 2060 \)[/tex]
- [tex]\( 1006 \times 305 = 306830 \)[/tex]
- The additional constant is 45.
- Adding them together, [tex]\( 306830 + 45 = 306875 \)[/tex].
- [tex]\( 50 + 29000 = 29050 \)[/tex]
- [tex]\( 12006 + 1 - 2500 = 9507 \)[/tex]

Finally, the results for each part are:

- [tex]\( y = 2060 \)[/tex]
- Value from multiplication: [tex]\( 306830 \)[/tex]
- The constant value: [tex]\( 45 \)[/tex]
- Sum of multiplication and constant: [tex]\( 306875 \)[/tex]
- Sum: [tex]\( 29050 \)[/tex]
- Final computed value: [tex]\( 9507 \)[/tex]

I hope this step-by-step explanation is clear! If you have any questions or need further assistance, feel free to ask.

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