1/2 (8y- 10z)- (3y+z)
1/2 (8y- 10z)- (3y+z)
4y - 5z - 3y - z
y - 6z
To simplify the expression 1/2 (8y- 10z)- (3y+z), we can follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division [from left to right], Addition and Subtraction [from left to right]).
First, let's distribute the 1/2 to each term inside the parentheses:
1/2 * 8y = 4y
1/2 * (-10z) = -5z
Now the expression becomes:
4y - 5z - (3y+z)
Next, let's simplify the expression inside the parentheses:
4y - 5z - 3y - z
Now we can combine the like terms:
(4y - 3y) + (-5z - z)
y - 6z
So, the simplified expression is y - 6z.