Solve for y . -2(y-3)= 5y-29 Simplify your answer as much as possible
-2(y-3)= 5y-29
-2y + 6 = 5y - 29
-7y = -35
y = 5
To solve for y in the equation -2(y-3) = 5y - 29, we need to simplify and isolate y on one side. Let's go step by step:
1. Distribute the -2 to the terms inside the parentheses:
-2y + 6 = 5y - 29
2. Next, let's gather all the y terms on one side of the equation by adding 2y to both sides:
-2y + 2y + 6 = 5y + 2y - 29
This simplifies to:
6 = 7y - 29
3. Now, let's isolate the variable y. We'll start by moving the constant term (-29) to the other side by adding 29 to both sides:
6 + 29 = 7y - 29 + 29
This simplifies to:
35 = 7y
4. Finally, we can solve for y by dividing both sides of the equation by 7:
35/7 = 7y/7
This simplifies to:
5 = y
Therefore, the solution to the equation -2(y-3) = 5y - 29 is y = 5.