Questions: Simplify the given algebraic expression. 8(7y-4)-(7y+6)

Solution Steps

First, distribute the 8 across the terms inside the parentheses:

\[ 8(7y - 4) = 8 \cdot 7y - 8 \cdot 4 = 56y - 32 \]

Now, substitute the distributed expression back into the original expression and simplify:

\[ 56y - 32 - (7y + 6) \]

Distribute the negative sign across the terms inside the parentheses:

\[ 56y - 32 - 7y - 6 \]

Combine the like terms:

• Combine the \(y\) terms: \(56y - 7y = 49y\)
• Combine the constant terms: \(-32 - 6 = -38\)

So, the expression simplifies to:

\[ 49y - 38 \]

Final Answer