.75(12y+8)-3(4y+4)=0

Solution for .75(12y+8)-3(4y+4)=0 equation:

Simplifying
0.75(12y + 8) + -3(4y + 4) = 0

Reorder the terms:
0.75(8 + 12y) + -3(4y + 4) = 0
(8 * 0.75 + 12y * 0.75) + -3(4y + 4) = 0
(6 + 9y) + -3(4y + 4) = 0

Reorder the terms:
6 + 9y + -3(4 + 4y) = 0
6 + 9y + (4 * -3 + 4y * -3) = 0
6 + 9y + (-12 + -12y) = 0

Reorder the terms:
6 + -12 + 9y + -12y = 0

Combine like terms: 6 + -12 = -6
-6 + 9y + -12y = 0

Combine like terms: 9y + -12y = -3y
-6 + -3y = 0

Solving
-6 + -3y = 0

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + -3y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -3y = 0 + 6
-3y = 0 + 6

Combine like terms: 0 + 6 = 6
-3y = 6

Divide each side by '-3'.
y = -2

Simplifying
y = -2