0.12(y-5)+0.10y=0.14y-0.5

Solution for 0.12(y-5)+0.10y=0.14y-0.5 equation:

Simplifying
0.12(y + -5) + 0.10y = 0.14y + -0.5

Reorder the terms:
0.12(-5 + y) + 0.10y = 0.14y + -0.5
(-5 * 0.12 + y * 0.12) + 0.10y = 0.14y + -0.5
(-0.6 + 0.12y) + 0.10y = 0.14y + -0.5

Combine like terms: 0.12y + 0.10y = 0.22y
-0.6 + 0.22y = 0.14y + -0.5

Reorder the terms:
-0.6 + 0.22y = -0.5 + 0.14y

Solving
-0.6 + 0.22y = -0.5 + 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.
-0.6 + 0.22y + -0.14y = -0.5 + 0.14y + -0.14y

Combine like terms: 0.22y + -0.14y = 0.08y
-0.6 + 0.08y = -0.5 + 0.14y + -0.14y

Combine like terms: 0.14y + -0.14y = 0.00
-0.6 + 0.08y = -0.5 + 0.00
-0.6 + 0.08y = -0.5

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.08y = -0.5 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.08y = -0.5 + 0.6
0.08y = -0.5 + 0.6

Combine like terms: -0.5 + 0.6 = 0.1
0.08y = 0.1

Divide each side by '0.08'.
y = 1.25

Simplifying
y = 1.25