0.02(y-1)+0.08y=.14y-0.01(40)

Solution for 0.02(y-1)+0.08y=.14y-0.01(40) equation:

Simplifying
0.02(y + -1) + 0.08y = 0.14y + -0.01(40)

Reorder the terms:
0.02(-1 + y) + 0.08y = 0.14y + -0.01(40)
(-1 * 0.02 + y * 0.02) + 0.08y = 0.14y + -0.01(40)
(-0.02 + 0.02y) + 0.08y = 0.14y + -0.01(40)

Combine like terms: 0.02y + 0.08y = 0.1y
-0.02 + 0.1y = 0.14y + -0.01(40)

Multiply -0.01 * 40
-0.02 + 0.1y = 0.14y + -0.4

Reorder the terms:
-0.02 + 0.1y = -0.4 + 0.14y

Solving
-0.02 + 0.1y = -0.4 + 0.14y

Solving for variable 'y'.

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

Add '-0.14y' to each side of the equation.
-0.02 + 0.1y + -0.14y = -0.4 + 0.14y + -0.14y

Combine like terms: 0.1y + -0.14y = -0.04y
-0.02 + -0.04y = -0.4 + 0.14y + -0.14y

Combine like terms: 0.14y + -0.14y = 0.00
-0.02 + -0.04y = -0.4 + 0.00
-0.02 + -0.04y = -0.4

Add '0.02' to each side of the equation.
-0.02 + 0.02 + -0.04y = -0.4 + 0.02

Combine like terms: -0.02 + 0.02 = 0.00
0.00 + -0.04y = -0.4 + 0.02
-0.04y = -0.4 + 0.02

Combine like terms: -0.4 + 0.02 = -0.38
-0.04y = -0.38

Divide each side by '-0.04'.
y = 9.5

Simplifying
y = 9.5