4(8 - y) = 2y + 16
It's your turn now.
How do you think this should be solved?
32 - 4y = 2y + 16
32 - 4y + -2y= 2y +16 + -2y
32 + 6y = 16
6y + 32=16
6y/6 = -16/6
y= -2.6
Looking at the left side only, try to expand that to make things easier:
4(8-y) --> 32-4y
Now that it's expanded, the question looks like this:
32 - 4y = 2y + 16
Does that look easier to solve?
yes but I still don't see how to solve it correctly
To solve the equation 4(8 - y) = 2y + 16, follow these steps:
Step 1: Distribute the 4 to both terms inside the parentheses:
4 * 8 - 4 * y = 2y + 16
32 - 4y = 2y + 16
Step 2: Combine like terms. Move the variable terms to one side and the constant terms to the other side:
-4y - 2y = 16 - 32
-6y = -16
Step 3: Divide both sides by -6 to solve for y:
y = (-16) / (-6)
Step 4: Simplify the right side of the equation:
y = 8/3
Therefore, the solution to the equation 4(8 - y) = 2y + 16 is y = 8/3.