0.02(y-5)+0.14y=0.08y-0.05(10)

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Solution for 0.02(y-5)+0.14y=0.08y-0.05(10) equation: 


Simplifying
0.02(y + -5) + 0.14y = 0.08y + -0.05(10)

Reorder the terms:
0.02(-5 + y) + 0.14y = 0.08y + -0.05(10)
(-5 * 0.02 + y * 0.02) + 0.14y = 0.08y + -0.05(10)
(-0.1 + 0.02y) + 0.14y = 0.08y + -0.05(10)

Combine like terms: 0.02y + 0.14y = 0.16y
-0.1 + 0.16y = 0.08y + -0.05(10)

Multiply -0.05 * 10
-0.1 + 0.16y = 0.08y + -0.5

Reorder the terms:
-0.1 + 0.16y = -0.5 + 0.08y

Solving
-0.1 + 0.16y = -0.5 + 0.08y

Solving for variable 'y'.

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

Add '-0.08y' to each side of the equation.
-0.1 + 0.16y + -0.08y = -0.5 + 0.08y + -0.08y

Combine like terms: 0.16y + -0.08y = 0.08y
-0.1 + 0.08y = -0.5 + 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 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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