Let's solve the equation [tex]\(10(y - 9) = -60\)[/tex] step by step.
1. Equation Setup:
We start with the equation:
[tex]\[ 10(y - 9) = -60 \][/tex]
2. Isolate the Parentheses:
To simplify the equation, we first divide both sides by 10:
[tex]\[ y - 9 = \frac{-60}{10} \][/tex]
3. Simplify the Right Side:
Calculate the division on the right side:
[tex]\[ y - 9 = -6.0 \][/tex]
4. Solve for [tex]\(y\)[/tex]:
Next, we need to isolate [tex]\(y\)[/tex] by adding 9 to both sides:
[tex]\[ y - 9 + 9 = -6.0 + 9 \][/tex]
5. Simplify the Left and Right Sides:
Simplifying both sides, we get:
[tex]\[ y = 3 \][/tex]
So, the value of [tex]\(y\)[/tex] that satisfies the equation [tex]\(10(y - 9) = -60\)[/tex] is:
[tex]\[ y = 3 \][/tex]
Additionally, during our intermediate steps, we found:
[tex]\[ y - 9 = -6.0 \][/tex]
Thus, the intermediate and final results are:
[tex]\[ y - 9 = -6.0 \][/tex]
[tex]\[ y = 3 \][/tex]
Hence, the complete solution to the equation is [tex]\( y = 3 \)[/tex], and the intermediate value is [tex]\( y - 9 = -6.0 \)[/tex].
