Question

how many solutions does the following equation have?
$-17(y - 2) = -17y + 64$
choose 1 answer:
a no solutions
b exactly one solution
c infinitely many solutions

Explanation:

Step1: Expand left-hand side

$-17(y-2) = -17y + 34$

Step2: Rewrite original equation

$-17y + 34 = -17y + 64$

Step3: Isolate variable terms

Add $17y$ to both sides:
$34 = 64$

Step4: Analyze the result

This is a false statement, so no values of $y$ satisfy the equation.

Answer:

A. No solutions