0.15=0.06+0.9(y-0.06)

Solution for 0.15=0.06+0.9(y-0.06) equation:

Simplifying
0.15 = 0.06 + 0.9(y + -0.06)

Reorder the terms:
0.15 = 0.06 + 0.9(-0.06 + y)
0.15 = 0.06 + (-0.06 * 0.9 + y * 0.9)
0.15 = 0.06 + (-0.054 + 0.9y)

Combine like terms: 0.06 + -0.054 = 0.006
0.15 = 0.006 + 0.9y

Solving
0.15 = 0.006 + 0.9y

Solving for variable 'y'.

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

Add '-0.9y' to each side of the equation.
0.15 + -0.9y = 0.006 + 0.9y + -0.9y

Combine like terms: 0.9y + -0.9y = 0.0
0.15 + -0.9y = 0.006 + 0.0
0.15 + -0.9y = 0.006

Add '-0.15' to each side of the equation.
0.15 + -0.15 + -0.9y = 0.006 + -0.15

Combine like terms: 0.15 + -0.15 = 0.00
0.00 + -0.9y = 0.006 + -0.15
-0.9y = 0.006 + -0.15

Combine like terms: 0.006 + -0.15 = -0.144
-0.9y = -0.144

Divide each side by '-0.9'.
y = 0.16

Simplifying
y = 0.16