4(1.5+-.75y)-3y=-6

Solution for 4(1.5+-.75y)-3y=-6 equation:

Simplifying
4(1.5 + -0.75y) + -3y = -6
(1.5 * 4 + -0.75y * 4) + -3y = -6
(6 + -3y) + -3y = -6

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

Solving
6 + -6y = -6

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 + -6y = -6 + -6

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

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

Divide each side by '-6'.
y = 2

Simplifying
y = 2