-9 (10-3y/3) -9=-30
Let's solve the equation step by step:
Start with the equation -9 (10 - 3y/3) - 9 = -30.
First, simplify the expression inside the parentheses:
10 - 3y/3
= 10 - y
Now rewrite the equation with the simplified expression:
-9 (10 - y) - 9 = -30
Next, distribute -9 to the terms inside the parentheses:
-90 + 9y - 9 = -30
Combine like terms on the left side:
-90 + 9y - 9 = -30
-99 + 9y = -30
To isolate the variable, add 99 to both sides:
-99 + 9y + 99 = -30 + 99
9y = 69
Finally, divide both sides by 9 to solve for y:
9y/9 = 69/9
y = 7.67 (rounded to two decimal places)
Therefore, the solution to the equation is y ≈ 7.67.
To solve this equation step-by-step, let's follow the order of operations (PEMDAS):
1. Start by distributing the -9 to both terms within the parentheses:
-9 * 10 = -90
-9 * (-3y/3) = 9y
So, the equation becomes:
-90 + 9y - 9 = -30
2. Combine like terms on the left side of the equation:
-90 - 9 = -99
Therefore, the equation simplifies to:
-99 + 9y = -30
3. Next, isolate the variable term (9y) by moving the constant term (-99) to the other side of the equation:
-99 + 99 + 9y = -30 + 99
9y = 69
4. Finally, solve for y by dividing both sides of the equation by 9:
(9y) / 9 = 69 / 9
y = 7.67 (approximately)
So, the solution to the equation is y = 7.67 (approximately).
To solve the equation -9(10 - 3y/3) - 9 = -30, follow these steps:
Step 1: Simplify the expression inside the parentheses.
- The denominator of the fraction, 3, can be canceled out with the 3 outside the parentheses.
- So, -9(10 - y) - 9 = -30
Step 2: Distribute the -9 across the expression inside the parentheses.
- Multiply -9 by 10: -90
- Multiply -9 by -y: 9y
- So, -90 + 9y - 9 = -30
Step 3: Combine like terms.
- Combine -90 and -9: -99
- So, -99 + 9y - 9 = -30
Step 4: Simplify further.
- Combine -99 and -9: -108
- So, -108 + 9y = -30
Step 5: Isolate the variable y.
- To isolate y, rearrange the equation by moving -108 to the other side.
- Subtract -108 from both sides: -30 + 108 = 9y
- Simplify: 78 = 9y
Step 6: Solve for y.
- Divide both sides by 9 to solve for y: 78/9 = y
- Simplify: 8.67 = y
So, the solution to the equation -9(10 - 3y/3) - 9 = -30 is y = 8.67