12y- 9 = 2 + 5(y+2). Solve.
12y- 9 = 2 + 5(y+2).
12y - 9 = 2 + 5y + 10
7y = 21y
y = 3
To solve the equation 12y - 9 = 2 + 5(y + 2), let's break it down step by step:
1. Distribute the 5 to the terms inside the parentheses:
12y - 9 = 2 + 5y + 10
2. Combine like terms on the right side of the equation:
12y - 9 = 5y + 12
3. Simplify the equation by subtracting 5y from both sides:
12y - 5y - 9 = 5y - 5y + 12
4. Combine like terms on the left side of the equation:
7y - 9 = 12
5. To isolate the variable, add 9 to both sides:
7y - 9 + 9 = 12 + 9
6. Simplify the equation:
7y = 21
7. Finally, divide both sides of the equation by 7 to solve for y:
7y/7 = 21/7
8. Simplify the equation:
y = 3
Therefore, the solution to the equation 12y - 9 = 2 + 5(y + 2) is y = 3.