0.4y+0.8(4)=0.5(y+4)

Solution for 0.4y+0.8(4)=0.5(y+4) equation:

Simplifying
0.4y + 0.8(4) = 0.5(y + 4)

Multiply 0.8 * 4
0.4y + 3.2 = 0.5(y + 4)

Reorder the terms:
3.2 + 0.4y = 0.5(y + 4)

Reorder the terms:
3.2 + 0.4y = 0.5(4 + y)
3.2 + 0.4y = (4 * 0.5 + y * 0.5)
3.2 + 0.4y = (2 + 0.5y)

Solving
3.2 + 0.4y = 2 + 0.5y

Solving for variable 'y'.

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

Add '-0.5y' to each side of the equation.
3.2 + 0.4y + -0.5y = 2 + 0.5y + -0.5y

Combine like terms: 0.4y + -0.5y = -0.1y
3.2 + -0.1y = 2 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
3.2 + -0.1y = 2 + 0.0
3.2 + -0.1y = 2

Add '-3.2' to each side of the equation.
3.2 + -3.2 + -0.1y = 2 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -0.1y = 2 + -3.2
-0.1y = 2 + -3.2

Combine like terms: 2 + -3.2 = -1.2
-0.1y = -1.2

Divide each side by '-0.1'.
y = 12

Simplifying
y = 12