.6(2y-6)=-.04(3y-4)

Solution for .6(2y-6)=-.04(3y-4) equation:

Simplifying
0.6(2y + -6) = -0.04(3y + -4)

Reorder the terms:
0.6(-6 + 2y) = -0.04(3y + -4)
(-6 * 0.6 + 2y * 0.6) = -0.04(3y + -4)
(-3.6 + 1.2y) = -0.04(3y + -4)

Reorder the terms:
-3.6 + 1.2y = -0.04(-4 + 3y)
-3.6 + 1.2y = (-4 * -0.04 + 3y * -0.04)
-3.6 + 1.2y = (0.16 + -0.12y)

Solving
-3.6 + 1.2y = 0.16 + -0.12y

Solving for variable 'y'.

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

Add '0.12y' to each side of the equation.
-3.6 + 1.2y + 0.12y = 0.16 + -0.12y + 0.12y

Combine like terms: 1.2y + 0.12y = 1.32y
-3.6 + 1.32y = 0.16 + -0.12y + 0.12y

Combine like terms: -0.12y + 0.12y = 0.00
-3.6 + 1.32y = 0.16 + 0.00
-3.6 + 1.32y = 0.16

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 1.32y = 0.16 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 1.32y = 0.16 + 3.6
1.32y = 0.16 + 3.6

Combine like terms: 0.16 + 3.6 = 3.76
1.32y = 3.76

Divide each side by '1.32'.
y = 2.848484848

Simplifying
y = 2.848484848