0.40(4)+0.55y=(0.50)(4+y)

Solution for 0.40(4)+0.55y=(0.50)(4+y) equation:

Simplifying
0.40(4) + 0.55y = (0.50)(4 + y)

Multiply 0.40 * 4
1.6 + 0.55y = (0.50)(4 + y)
1.6 + 0.55y = (4 * 0.50 + y * 0.50)
1.6 + 0.55y = (2 + 0.50y)

Solving
1.6 + 0.55y = 2 + 0.50y

Solving for variable 'y'.

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

Add '-0.50y' to each side of the equation.
1.6 + 0.55y + -0.50y = 2 + 0.50y + -0.50y

Combine like terms: 0.55y + -0.50y = 0.05y
1.6 + 0.05y = 2 + 0.50y + -0.50y

Combine like terms: 0.50y + -0.50y = 0.00
1.6 + 0.05y = 2 + 0.00
1.6 + 0.05y = 2

Add '-1.6' to each side of the equation.
1.6 + -1.6 + 0.05y = 2 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 0.05y = 2 + -1.6
0.05y = 2 + -1.6

Combine like terms: 2 + -1.6 = 0.4
0.05y = 0.4

Divide each side by '0.05'.
y = 8

Simplifying
y = 8