0.09y+.14(300-y)=.2y

Solution for 0.09y+.14(300-y)=.2y equation:

Simplifying
0.09y + 0.14(300 + -1y) = 0.2y
0.09y + (300 * 0.14 + -1y * 0.14) = 0.2y
0.09y + (42 + -0.14y) = 0.2y

Reorder the terms:
42 + 0.09y + -0.14y = 0.2y

Combine like terms: 0.09y + -0.14y = -0.05y
42 + -0.05y = 0.2y

Solving
42 + -0.05y = 0.2y

Solving for variable 'y'.

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

Add '-0.2y' to each side of the equation.
42 + -0.05y + -0.2y = 0.2y + -0.2y

Combine like terms: -0.05y + -0.2y = -0.25y
42 + -0.25y = 0.2y + -0.2y

Combine like terms: 0.2y + -0.2y = 0.0
42 + -0.25y = 0.0

Add '-42' to each side of the equation.
42 + -42 + -0.25y = 0.0 + -42

Combine like terms: 42 + -42 = 0
0 + -0.25y = 0.0 + -42
-0.25y = 0.0 + -42

Combine like terms: 0.0 + -42 = -42
-0.25y = -42

Divide each side by '-0.25'.
y = 168

Simplifying
y = 168