-5y-9=-(y-1)
how would one solve this problem, I'm not sure
-5y-9=-(y-1)
-5y + y = 1 + 9
-4y = 10
y = -2.5
To solve the equation -5y - 9 = -(y - 1), you can follow these steps:
Step 1: Distribute the negative sign on the right side of the equation:
-5y - 9 = -y + 1
Step 2: Combine like terms on both sides of the equation:
-5y + y = 1 + 9
Step 3: Simplify the equation:
-4y = 10
Step 4: Divide both sides of the equation by -4 to isolate y:
y = 10 / -4
Step 5: Simplify the fraction:
y = -5/2, or -2.5
Therefore, the solution to the equation -5y - 9 = -(y - 1) is y = -2.5.
To solve this problem, you can start by simplifying the equation step by step. Here's a step-by-step explanation of how to solve it:
1. Distribute the negative sign to the terms inside the parentheses:
-5y - 9 = -y + 1
2. Combine like terms on both sides of the equation:
-5y + y = 1 + 9
3. Simplify the left side by adding -5y and y:
-4y = 10
4. Divide both sides of the equation by -4 to isolate y:
(-4y) / -4 = 10 / -4
y = -10 / 4
5. Simplify the right side:
y = -5/2 or -2.5
Therefore, the solution to the equation is y = -5/2 or -2.5.