Question

1. $-2(b + 5) = -6$ (26)
2. $4(y + 1) = -8$ (26)
3. $\frac{5}{8} = 2m + \frac{3}{8}$ (26)

Explanation:

Problem 1: Solve \(-2(b + 5) = -6\)

Step 1: Divide both sides by -2

To isolate the term with \(b\), we divide both sides of the equation by \(-2\).
\(\frac{-2(b + 5)}{-2} = \frac{-6}{-2}\)
Simplifying both sides, we get:
\(b + 5 = 3\)

Step 2: Subtract 5 from both sides

To solve for \(b\), we subtract 5 from both sides of the equation.
\(b + 5 - 5 = 3 - 5\)
Simplifying both sides, we get:
\(b = -2\)

Step 1: Divide both sides by 4

To isolate the term with \(y\), we divide both sides of the equation by 4.
\(\frac{4(y + 1)}{4} = \frac{-8}{4}\)
Simplifying both sides, we get:
\(y + 1 = -2\)

Step 2: Subtract 1 from both sides

To solve for \(y\), we subtract 1 from both sides of the equation.
\(y + 1 - 1 = -2 - 1\)
Simplifying both sides, we get:
\(y = -3\)

Step 1: Subtract \(\frac{3}{8}\) from both sides

To isolate the term with \(m\), we subtract \(\frac{3}{8}\) from both sides of the equation.
\(\frac{5}{8} - \frac{3}{8} = 2m + \frac{3}{8} - \frac{3}{8}\)
Simplifying both sides, we get:
\(\frac{2}{8} = 2m\)
Simplify \(\frac{2}{8}\) to \(\frac{1}{4}\):
\(\frac{1}{4} = 2m\)

Step 2: Divide both sides by 2

To solve for \(m\), we divide both sides of the equation by 2.
\(\frac{\frac{1}{4}}{2} = \frac{2m}{2}\)
Simplifying both sides, we get:
\(m = \frac{1}{8}\)

Answer:

\(b = -2\)

Problem 2: Solve \(4(y + 1) = -8\)