-1/4(-8x + 12y)

-1/4 * -8 = 2

-1/4 * 12 = -3

2x - 3y

To simplify the expression -1/4(-8x + 12y), follow these steps:

Step 1: Distribute the -1/4 to each term inside the parentheses.
-1/4 * -8x = (1/4) * 8x = 2x
-1/4 * 12y = (1/4) * -12y = -3y

Step 2: Rewrite the expression after distributing.
-1/4(-8x + 12y) = 2x - 3y

Thus, the simplified form of -1/4(-8x + 12y) is 2x - 3y.

To simplify the expression -1/4(-8x + 12y), we can use the distributive property of multiplication over addition and subtraction.

Step 1: Distribute the -1/4 to both terms inside the parentheses (-8x and 12y):
(-1/4) * (-8x) + (-1/4) * 12y

Step 2: Simplify each term:
(2x) + (-3y)

Therefore, the simplified expression is 2x - 3y.