To solve the equation [tex]\( |3y + 9| = -3 \)[/tex], we need to consider the properties of absolute values.
1. Recall that the absolute value of any real number is always non-negative. This means that for any real number [tex]\( x \)[/tex],
[tex]\[
|x| \geq 0
\][/tex]
2. Given the equation [tex]\( |3y + 9| = -3 \)[/tex], we are asked to set the absolute value of [tex]\( 3y + 9 \)[/tex] equal to a negative number, namely [tex]\(-3\)[/tex].
3. Since the absolute value of any expression cannot be negative, the equation [tex]\( |3y + 9| = -3 \)[/tex] has no solution.
Therefore, the answer is:
[tex]\[
\text{No solution}
\][/tex]
