Simplifying the Expression (3y+6x)-2(x+5/2)+6y
This article will guide you through simplifying the algebraic expression (3y+6x)-2(x+5/2)+6y.
Step 1: Distribute the -2
First, we need to distribute the -2 to the terms inside the parentheses.
(3y+6x)-2(x+5/2)+6y = 3y + 6x - 2x - 5 + 6y
Step 2: Combine Like Terms
Now, combine the terms with the same variables:
3y + 6x - 2x - 5 + 6y = (3y + 6y) + (6x - 2x) - 5
Step 3: Simplify
Finally, simplify the expression:
(3y + 6y) + (6x - 2x) - 5 = 9y + 4x - 5
Therefore, the simplified form of the expression (3y+6x)-2(x+5/2)+6y is 9y + 4x - 5.