Solve the equation.

negative 5 y plus 4 equals negative 4 left parenthesis 2 y plus 2 right parenthesis−5y+4=−4(2y+2)

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Part 1

yequals=enter your response here

​(Type an integer or a simplified​ fraction.)

Let's solve the equation step by step:

The given equation is:

\[
-5y + 4 = -4(2y + 2)
\]

### Step 1: Distribute the \(-4\) on the right-hand side

\[
-5y + 4 = -4 \cdot 2y - 4 \cdot 2
\]
\[
-5y + 4 = -8y - 8
\]

### Step 2: Move all terms with \(y\) to one side and constants to the other

To do this, add \(8y\) to both sides:

\[
-5y + 8y + 4 = -8y + 8y - 8
\]
\[
3y + 4 = -8
\]

### Step 3: Isolate the variable

Now, subtract 4 from both sides:

\[
3y = -8 - 4
\]
\[
3y = -12
\]

### Step 4: Solve for \(y\)

Now, divide both sides by 3:

\[
y = \frac{-12}{3} = -4
\]

### Final Answer:

\[
y = -4
\]

Would you like more details on any step, or do you have questions? 

Here are 5 related questions to explore:
1. What happens when both sides of the equation contain fractions?
2. How do you handle equations with variables on both sides?
3. What are common mistakes to avoid when distributing negative signs?
4. Can you solve multi-step equations with parentheses and variables?
5. How can you check your solution by substituting back into the original equation?

**Tip:** Always distribute negative signs carefully to avoid mistakes!

Solve the equation: -5y + 4 = -4(2y + 2).

Learn how to solve the linear equation -5y + 4 = -4(2y + 2) using algebraic techniques such as the distributive property and combining like terms. This step-by-step solution is ideal for students in Grades 6-8.

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