0.16(y-5)+0.02y=0.14y-0.01(40)

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Solution for 0.16(y-5)+0.02y=0.14y-0.01(40) equation: 


Simplifying
0.16(y + -5) + 0.02y = 0.14y + -0.01(40)

Reorder the terms:
0.16(-5 + y) + 0.02y = 0.14y + -0.01(40)
(-5 * 0.16 + y * 0.16) + 0.02y = 0.14y + -0.01(40)
(-0.8 + 0.16y) + 0.02y = 0.14y + -0.01(40)

Combine like terms: 0.16y + 0.02y = 0.18y
-0.8 + 0.18y = 0.14y + -0.01(40)

Multiply -0.01 * 40
-0.8 + 0.18y = 0.14y + -0.4

Reorder the terms:
-0.8 + 0.18y = -0.4 + 0.14y

Solving
-0.8 + 0.18y = -0.4 + 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.
-0.8 + 0.18y + -0.14y = -0.4 + 0.14y + -0.14y

Combine like terms: 0.18y + -0.14y = 0.04y
-0.8 + 0.04y = -0.4 + 0.14y + -0.14y

Combine like terms: 0.14y + -0.14y = 0.00
-0.8 + 0.04y = -0.4 + 0.00
-0.8 + 0.04y = -0.4

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.04y = -0.4 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.04y = -0.4 + 0.8
0.04y = -0.4 + 0.8

Combine like terms: -0.4 + 0.8 = 0.4
0.04y = 0.4

Divide each side by '0.04'.
y = 10

Simplifying
y = 10

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