0.10(y-3)+0.06y=0.12y-0.03(20)

Solution for 0.10(y-3)+0.06y=0.12y-0.03(20) equation:

Simplifying
0.10(y + -3) + 0.06y = 0.12y + -0.03(20)

Reorder the terms:
0.10(-3 + y) + 0.06y = 0.12y + -0.03(20)
(-3 * 0.10 + y * 0.10) + 0.06y = 0.12y + -0.03(20)
(-0.3 + 0.10y) + 0.06y = 0.12y + -0.03(20)

Combine like terms: 0.10y + 0.06y = 0.16y
-0.3 + 0.16y = 0.12y + -0.03(20)

Multiply -0.03 * 20
-0.3 + 0.16y = 0.12y + -0.6

Reorder the terms:
-0.3 + 0.16y = -0.6 + 0.12y

Solving
-0.3 + 0.16y = -0.6 + 0.12y

Solving for variable 'y'.

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

Add '-0.12y' to each side of the equation.
-0.3 + 0.16y + -0.12y = -0.6 + 0.12y + -0.12y

Combine like terms: 0.16y + -0.12y = 0.04y
-0.3 + 0.04y = -0.6 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-0.3 + 0.04y = -0.6 + 0.00
-0.3 + 0.04y = -0.6

Add '0.3' to each side of the equation.
-0.3 + 0.3 + 0.04y = -0.6 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + 0.04y = -0.6 + 0.3
0.04y = -0.6 + 0.3

Combine like terms: -0.6 + 0.3 = -0.3
0.04y = -0.3

Divide each side by '0.04'.
y = -7.5

Simplifying
y = -7.5