Let's solve the equation step by step:

Given:
\[
4y - 7 + 2y = -3(y - 1) - 1
\]

### Step 1: Simplify both sides of the equation

Combine like terms on the left side:
\[
4y + 2y - 7 = 6y - 7
\]

Distribute \(-3\) on the right side:
\[
-3(y - 1) = -3y + 3
\]

So, the equation becomes:
\[
6y - 7 = -3y + 3 - 1
\]

Simplify the right side:
\[
6y - 7 = -3y + 2
\]

### Step 2: Get all the \(y\) terms on one side of the equation

Add \(3y\) to both sides:
\[
6y + 3y - 7 = 2
\]
\[
9y - 7 = 2
\]

### Step 3: Isolate \(y\)

Add 7 to both sides:
\[
9y = 9
\]

### Step 4: Solve for \(y\)
\[
y = \frac{9}{9} = 1
\]

So, the solution is:
\[
y = 1
\]

Would you like to see more details or have any other questions?

Here are some related problems you might find interesting:

1. Solve \(3x - 5 + 2x = -2(x - 4)\).
2. Solve \(5z + 2 - 3z = 4(z - 1) - 5\).
3. Solve \(7a - 4 = 2(a + 5) - 3\).
4. Simplify and solve \(2(m + 3) + 4m = 5(2m - 1)\).
5. Solve the equation \(8b - 3(2b + 1) = 2(4b - 3)\).

**Tip:** Always combine like terms first to simplify the equation before moving on to isolating the variable.

Learn how to solve the equation 4y - 7 + 2y = -3(y - 1) - 1 step-by-step with a detailed solution. This problem involves simplifying expressions and solving linear equations. Suitable for students in Grades 7-9.

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