-9y + 7 = 24y - 4
To solve this equation, we want to isolate the variable y.
First, let's simplify the equation by combining like terms:
-9y + 7 = 24y - 4
To get rid of the terms with y on one side of the equation, we can add 9y to both sides:
-9y + 9y + 7 = 24y - 4 + 9y
Simplifying further, we get:
7 = 33y - 4
Next, we want to get rid of the constant term (-4) by adding 4 to both sides:
7 + 4 = 33y - 4 + 4
11 = 33y
To isolate y, divide both sides of the equation by 33:
11/33 = (33y)/33
Simplifying, we have:
1/3 = y
Therefore, the solution to the equation is y = 1/3.
To solve the equation -9y + 7 = 24y - 4, follow these steps:
Step 1: Combine like terms on both sides of the equation.
-9y + 7 = 24y - 4
Step 2: Move all variables to one side of the equation and constants to the other side by adding or subtracting.
-9y - 24y = -4 - 7
Simplifying both sides, we get:
-33y = -11
Step 3: Divide both sides of the equation by the coefficient of y (-33) to solve for y.
-33y / -33 = -11 / -33
Simplifying, we get:
y = 1/3
Therefore, the solution to the equation is y = 1/3.