Simplify the following expression:2(4y + 5z) - 10z
8y
2 ( 4 y + 5 z ) - 10 z =
2 * 4 y + 2 * 5 z - 10 z =
8 y + 10 z - 10 z = 8 y
To simplify the expression 2(4y + 5z) - 10z, we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Step 1: Distribute the 2 to the terms inside the parentheses.
2 * 4y = 8y
2 * 5z = 10z
Step 2: Combine the like terms.
8y + 10z - 10z
Step 3: Simplify.
8y
Therefore, the simplified expression is 8y.