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

Solution for y+1.2y-2=0.4(y+4) equation:

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

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

Combine like terms: y + 1.2y = 2.2y
-2 + 2.2y = 0.4(y + 4)

Reorder the terms:
-2 + 2.2y = 0.4(4 + y)
-2 + 2.2y = (4 * 0.4 + y * 0.4)
-2 + 2.2y = (1.6 + 0.4y)

Solving
-2 + 2.2y = 1.6 + 0.4y

Solving for variable 'y'.

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

Add '-0.4y' to each side of the equation.
-2 + 2.2y + -0.4y = 1.6 + 0.4y + -0.4y

Combine like terms: 2.2y + -0.4y = 1.8y
-2 + 1.8y = 1.6 + 0.4y + -0.4y

Combine like terms: 0.4y + -0.4y = 0.0
-2 + 1.8y = 1.6 + 0.0
-2 + 1.8y = 1.6

Add '2' to each side of the equation.
-2 + 2 + 1.8y = 1.6 + 2

Combine like terms: -2 + 2 = 0
0 + 1.8y = 1.6 + 2
1.8y = 1.6 + 2

Combine like terms: 1.6 + 2 = 3.6
1.8y = 3.6

Divide each side by '1.8'.
y = 2

Simplifying
y = 2