solve the equation. 5(2-3y)+9y=4(3-2y)
Let's solve the equation step by step.
5(2-3y) + 9y = 4(3-2y)
First, distribute the 5 to the terms inside the parentheses:
10 - 15y + 9y = 4(3-2y)
Simplify by combining like terms on the left side:
10 - 6y = 4(3 - 2y)
Next, distribute the 4 to the terms inside the parentheses:
10 - 6y = 12 - 8y
Now, let's move all the y terms to the left side and the constant terms to the right side:
-6y + 8y = 12 - 10
Combine like terms:
2y = 2
Finally, solve for y by dividing both sides of the equation by 2:
y = 1
So, the solution to the equation is y = 1.