Y+1.2y-2=.4(y+4)

Solution for Y+1.2y-2=.4(y+4) equation:

Simplifying
Y + 1.2y + -2 = 0.4(y + 4)

Reorder the terms:
-2 + Y + 1.2y = 0.4(y + 4)

Reorder the terms:
-2 + Y + 1.2y = 0.4(4 + y)
-2 + Y + 1.2y = (4 * 0.4 + y * 0.4)
-2 + Y + 1.2y = (1.6 + 0.4y)

Solving
-2 + Y + 1.2y = 1.6 + 0.4y

Solving for variable 'Y'.

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

Add '2' to each side of the equation.
-2 + Y + 2 + 1.2y = 1.6 + 2 + 0.4y

Reorder the terms:
-2 + 2 + Y + 1.2y = 1.6 + 2 + 0.4y

Combine like terms: -2 + 2 = 0
0 + Y + 1.2y = 1.6 + 2 + 0.4y
Y + 1.2y = 1.6 + 2 + 0.4y

Combine like terms: 1.6 + 2 = 3.6
Y + 1.2y = 3.6 + 0.4y

Add '-1.2y' to each side of the equation.
Y + 1.2y + -1.2y = 3.6 + 0.4y + -1.2y

Combine like terms: 1.2y + -1.2y = 0.0
Y + 0.0 = 3.6 + 0.4y + -1.2y
Y = 3.6 + 0.4y + -1.2y

Combine like terms: 0.4y + -1.2y = -0.8y
Y = 3.6 + -0.8y

Simplifying
Y = 3.6 + -0.8y