0.16(y-9)+0.02y=0.08y-0.03(40)

Solution for 0.16(y-9)+0.02y=0.08y-0.03(40) equation:

Simplifying
0.16(y + -9) + 0.02y = 0.08y + -0.03(40)

Reorder the terms:
0.16(-9 + y) + 0.02y = 0.08y + -0.03(40)
(-9 * 0.16 + y * 0.16) + 0.02y = 0.08y + -0.03(40)
(-1.44 + 0.16y) + 0.02y = 0.08y + -0.03(40)

Combine like terms: 0.16y + 0.02y = 0.18y
-1.44 + 0.18y = 0.08y + -0.03(40)

Multiply -0.03 * 40
-1.44 + 0.18y = 0.08y + -1.2

Reorder the terms:
-1.44 + 0.18y = -1.2 + 0.08y

Solving
-1.44 + 0.18y = -1.2 + 0.08y

Solving for variable 'y'.

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

Add '-0.08y' to each side of the equation.
-1.44 + 0.18y + -0.08y = -1.2 + 0.08y + -0.08y

Combine like terms: 0.18y + -0.08y = 0.1y
-1.44 + 0.1y = -1.2 + 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
-1.44 + 0.1y = -1.2 + 0.00
-1.44 + 0.1y = -1.2

Add '1.44' to each side of the equation.
-1.44 + 1.44 + 0.1y = -1.2 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + 0.1y = -1.2 + 1.44
0.1y = -1.2 + 1.44

Combine like terms: -1.2 + 1.44 = 0.24
0.1y = 0.24

Divide each side by '0.1'.
y = 2.4

Simplifying
y = 2.4