Final answer:
The expression 36y-18x108y+54 is equivalent to -9(2x - 8y) + 54.
Step-by-step explanation:
The expression 36y-18x108y+54 is equivalent to the expression -9(2x - 8y) + 54.
To arrive at this, we can combine like terms by grouping the coefficients of x and y together. The terms 36y and -108y can be combined to give -72y, and the terms -18x and 0x can be combined to give -18x. Therefore, the expression can be simplified to -18x - 72y + 54.
From here, we can factor out a common factor of -9 to get -9(2x - 8y) + 54, which is equivalent to the original expression. Therefore, the correct option is D.