0.10(y-6)+0.14y=0.16y-0.01(50)

Solution for 0.10(y-6)+0.14y=0.16y-0.01(50) equation:

Simplifying
0.10(y + -6) + 0.14y = 0.16y + -0.01(50)

Reorder the terms:
0.10(-6 + y) + 0.14y = 0.16y + -0.01(50)
(-6 * 0.10 + y * 0.10) + 0.14y = 0.16y + -0.01(50)
(-0.6 + 0.10y) + 0.14y = 0.16y + -0.01(50)

Combine like terms: 0.10y + 0.14y = 0.24y
-0.6 + 0.24y = 0.16y + -0.01(50)

Multiply -0.01 * 50
-0.6 + 0.24y = 0.16y + -0.5

Reorder the terms:
-0.6 + 0.24y = -0.5 + 0.16y

Solving
-0.6 + 0.24y = -0.5 + 0.16y

Solving for variable 'y'.

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

Add '-0.16y' to each side of the equation.
-0.6 + 0.24y + -0.16y = -0.5 + 0.16y + -0.16y

Combine like terms: 0.24y + -0.16y = 0.08y
-0.6 + 0.08y = -0.5 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 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