0.3(2y-4)=-0.2(y-2)

Solution for 0.3(2y-4)=-0.2(y-2) equation:

Simplifying
0.3(2y + -4) = -0.2(y + -2)

Reorder the terms:
0.3(-4 + 2y) = -0.2(y + -2)
(-4 * 0.3 + 2y * 0.3) = -0.2(y + -2)
(-1.2 + 0.6y) = -0.2(y + -2)

Reorder the terms:
-1.2 + 0.6y = -0.2(-2 + y)
-1.2 + 0.6y = (-2 * -0.2 + y * -0.2)
-1.2 + 0.6y = (0.4 + -0.2y)

Solving
-1.2 + 0.6y = 0.4 + -0.2y

Solving for variable 'y'.

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

Add '0.2y' to each side of the equation.
-1.2 + 0.6y + 0.2y = 0.4 + -0.2y + 0.2y

Combine like terms: 0.6y + 0.2y = 0.8y
-1.2 + 0.8y = 0.4 + -0.2y + 0.2y

Combine like terms: -0.2y + 0.2y = 0.0
-1.2 + 0.8y = 0.4 + 0.0
-1.2 + 0.8y = 0.4

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.8y = 0.4 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.8y = 0.4 + 1.2
0.8y = 0.4 + 1.2

Combine like terms: 0.4 + 1.2 = 1.6
0.8y = 1.6

Divide each side by '0.8'.
y = 2

Simplifying
y = 2