simplify 4(3x-(3-5y+7x)+3y
4(3x)-4(3)+4(5y)-(4)(7x)+3y
combine like terms:
[4(3x)-(4)(7x)]+ [4(5y)+3y]+[-4(3)]
now simplify it further.
To simplify the given expression 4(3x-(3-5y+7x)+3y), we can follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division in left-to-right order, and Addition and Subtraction in left-to-right order).
First, let's simplify the expression within the innermost parentheses "(3-5y+7x)".
Step 1: Distribute the 4 to every term within the parentheses:
4(3x-(3-5y+7x)+3y) = 12x - 12 + 20y - 28x + 12y
Step 2: Combine the like terms:
12x - 12 + 20y - 28x + 12y = (12x - 28x) + (20y + 12y) - 12
= -16x + 32y - 12
Therefore, the simplified expression is -16x + 32y - 12.