0.02(y-5)+0.08y=0.18y-0.01(50)

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Solution for 0.02(y-5)+0.08y=0.18y-0.01(50) equation: 


Simplifying
0.02(y + -5) + 0.08y = 0.18y + -0.01(50)

Reorder the terms:
0.02(-5 + y) + 0.08y = 0.18y + -0.01(50)
(-5 * 0.02 + y * 0.02) + 0.08y = 0.18y + -0.01(50)
(-0.1 + 0.02y) + 0.08y = 0.18y + -0.01(50)

Combine like terms: 0.02y + 0.08y = 0.1y
-0.1 + 0.1y = 0.18y + -0.01(50)

Multiply -0.01 * 50
-0.1 + 0.1y = 0.18y + -0.5

Reorder the terms:
-0.1 + 0.1y = -0.5 + 0.18y

Solving
-0.1 + 0.1y = -0.5 + 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.
-0.1 + 0.1y + -0.18y = -0.5 + 0.18y + -0.18y

Combine like terms: 0.1y + -0.18y = -0.08y
-0.1 + -0.08y = -0.5 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-0.1 + -0.08y = -0.5 + 0.00
-0.1 + -0.08y = -0.5

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.08y = -0.5 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.08y = -0.5 + 0.1
-0.08y = -0.5 + 0.1

Combine like terms: -0.5 + 0.1 = -0.4
-0.08y = -0.4

Divide each side by '-0.08'.
y = 5

Simplifying
y = 5

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