9(4y(33.75)-3)-12(33.75)=4(27+5(33.75))

Solution for 9(4y(33.75)-3)-12(33.75)=4(27+5(33.75)) equation:

Simplifying
9(4y(33.75) + -3) + -12(33.75) = 4(27 + 5(33.75))

Reorder the terms for easier multiplication:
9(4 * 33.75y + -3) + -12(33.75) = 4(27 + 5(33.75))

Multiply 4 * 33.75
9(135y + -3) + -12(33.75) = 4(27 + 5(33.75))

Reorder the terms:
9(-3 + 135y) + -12(33.75) = 4(27 + 5(33.75))
(-3 * 9 + 135y * 9) + -12(33.75) = 4(27 + 5(33.75))
(-27 + 1215y) + -12(33.75) = 4(27 + 5(33.75))

Multiply -12 * 33.75
-27 + 1215y + -405 = 4(27 + 5(33.75))

Reorder the terms:
-27 + -405 + 1215y = 4(27 + 5(33.75))

Combine like terms: -27 + -405 = -432
-432 + 1215y = 4(27 + 5(33.75))

Multiply 5 * 33.75
-432 + 1215y = 4(27 + 168.75)

Combine like terms: 27 + 168.75 = 195.75
-432 + 1215y = 4(195.75)

Multiply 4 * 195.75
-432 + 1215y = 783

Solving
-432 + 1215y = 783

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '432' to each side of the equation.
-432 + 432 + 1215y = 783 + 432

Combine like terms: -432 + 432 = 0
0 + 1215y = 783 + 432
1215y = 783 + 432

Combine like terms: 783 + 432 = 1215
1215y = 1215

Divide each side by '1215'.
y = 1

Simplifying
y = 1