Rewrite in simplest terms: 10, y, minus, 6, left parenthesis, minus, 5, y, plus, 2, right parenthesis10y−6(−5y+2)

To rewrite the expression \(10y - 6(-5y + 2)\) in simpler terms, follow these steps:

1. Distribute the \(-6\) to both \(-5y\) and \(2\):

\[
10y - 6(-5y) - 6(2)
\]

This becomes:

\[
10y + 30y - 12
\]

2. Combine like terms:

\[
(10y + 30y) - 12 = 40y - 12
\]

So, the simplified expression is:

\[
40y - 12
\]

Do you have any questions or want further details on this?

Here are 5 related questions for practice:
1. Simplify \( 8x - 3(-4x + 5) \).
2. Expand and simplify \( 7a - 4(2a - 1) \).
3. Combine like terms in \( 15z - 2(6z + 3) \).
4. Solve for \(y\) if \( 40y - 12 = 28 \).
5. Factor the expression \( 40y - 12 \).

**Tip:** Always distribute negative signs carefully to avoid mistakes when simplifying expressions.

Rewrite in simplest terms: 10, y, minus, 6, left parenthesis, minus, 5, y, plus, 2, right parenthesis 10y−6(−5y+2)

Learn how to simplify the algebraic expression 10y−6(−5y+2) step-by-step using the distributive property. This solution covers key algebra concepts such as distribution and combining like terms. Suitable for students in Grades 7-9.

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