0.6(2y-6)=-.4(3y-4)

Solution for 0.6(2y-6)=-.4(3y-4) equation:

Simplifying
0.6(2y + -6) = -0.4(3y + -4)

Reorder the terms:
0.6(-6 + 2y) = -0.4(3y + -4)
(-6 * 0.6 + 2y * 0.6) = -0.4(3y + -4)
(-3.6 + 1.2y) = -0.4(3y + -4)

Reorder the terms:
-3.6 + 1.2y = -0.4(-4 + 3y)
-3.6 + 1.2y = (-4 * -0.4 + 3y * -0.4)
-3.6 + 1.2y = (1.6 + -1.2y)

Solving
-3.6 + 1.2y = 1.6 + -1.2y

Solving for variable 'y'.

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

Add '1.2y' to each side of the equation.
-3.6 + 1.2y + 1.2y = 1.6 + -1.2y + 1.2y

Combine like terms: 1.2y + 1.2y = 2.4y
-3.6 + 2.4y = 1.6 + -1.2y + 1.2y

Combine like terms: -1.2y + 1.2y = 0.0
-3.6 + 2.4y = 1.6 + 0.0
-3.6 + 2.4y = 1.6

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 2.4y = 1.6 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 2.4y = 1.6 + 3.6
2.4y = 1.6 + 3.6

Combine like terms: 1.6 + 3.6 = 5.2
2.4y = 5.2

Divide each side by '2.4'.
y = 2.166666667

Simplifying
y = 2.166666667