0.08(y-6)+0.02y=0.18y-0.01(10)

Solution for 0.08(y-6)+0.02y=0.18y-0.01(10) equation:

Simplifying
0.08(y + -6) + 0.02y = 0.18y + -0.01(10)

Reorder the terms:
0.08(-6 + y) + 0.02y = 0.18y + -0.01(10)
(-6 * 0.08 + y * 0.08) + 0.02y = 0.18y + -0.01(10)
(-0.48 + 0.08y) + 0.02y = 0.18y + -0.01(10)

Combine like terms: 0.08y + 0.02y = 0.1y
-0.48 + 0.1y = 0.18y + -0.01(10)

Multiply -0.01 * 10
-0.48 + 0.1y = 0.18y + -0.1

Reorder the terms:
-0.48 + 0.1y = -0.1 + 0.18y

Solving
-0.48 + 0.1y = -0.1 + 0.18y

Solving for variable 'y'.

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

Add '-0.18y' to each side of the equation.
-0.48 + 0.1y + -0.18y = -0.1 + 0.18y + -0.18y

Combine like terms: 0.1y + -0.18y = -0.08y
-0.48 + -0.08y = -0.1 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-0.48 + -0.08y = -0.1 + 0.00
-0.48 + -0.08y = -0.1

Add '0.48' to each side of the equation.
-0.48 + 0.48 + -0.08y = -0.1 + 0.48

Combine like terms: -0.48 + 0.48 = 0.00
0.00 + -0.08y = -0.1 + 0.48
-0.08y = -0.1 + 0.48

Combine like terms: -0.1 + 0.48 = 0.38
-0.08y = 0.38

Divide each side by '-0.08'.
y = -4.75

Simplifying
y = -4.75