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

Solution for 0.3(y+2)=0.4(y-4) equation:

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

Reorder the terms:
0.3(2 + y) = 0.4(y + -4)
(2 * 0.3 + y * 0.3) = 0.4(y + -4)
(0.6 + 0.3y) = 0.4(y + -4)

Reorder the terms:
0.6 + 0.3y = 0.4(-4 + y)
0.6 + 0.3y = (-4 * 0.4 + y * 0.4)
0.6 + 0.3y = (-1.6 + 0.4y)

Solving
0.6 + 0.3y = -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.
0.6 + 0.3y + -0.4y = -1.6 + 0.4y + -0.4y

Combine like terms: 0.3y + -0.4y = -0.1y
0.6 + -0.1y = -1.6 + 0.4y + -0.4y

Combine like terms: 0.4y + -0.4y = 0.0
0.6 + -0.1y = -1.6 + 0.0
0.6 + -0.1y = -1.6

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -0.1y = -1.6 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.1y = -1.6 + -0.6
-0.1y = -1.6 + -0.6

Combine like terms: -1.6 + -0.6 = -2.2
-0.1y = -2.2

Divide each side by '-0.1'.
y = 22

Simplifying
y = 22