0.08(y-5)+0.14y=0.18y-0.1

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Solution for 0.08(y-5)+0.14y=0.18y-0.1 equation: 


Simplifying
0.08(y + -5) + 0.14y = 0.18y + -0.1

Reorder the terms:
0.08(-5 + y) + 0.14y = 0.18y + -0.1
(-5 * 0.08 + y * 0.08) + 0.14y = 0.18y + -0.1
(-0.4 + 0.08y) + 0.14y = 0.18y + -0.1

Combine like terms: 0.08y + 0.14y = 0.22y
-0.4 + 0.22y = 0.18y + -0.1

Reorder the terms:
-0.4 + 0.22y = -0.1 + 0.18y

Solving
-0.4 + 0.22y = -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.
-0.4 + 0.22y + -0.18y = -0.1 + 0.18y + -0.18y

Combine like terms: 0.22y + -0.18y = 0.04y
-0.4 + 0.04y = -0.1 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-0.4 + 0.04y = -0.1 + 0.00
-0.4 + 0.04y = -0.1

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.04y = -0.1 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.04y = -0.1 + 0.4
0.04y = -0.1 + 0.4

Combine like terms: -0.1 + 0.4 = 0.3
0.04y = 0.3

Divide each side by '0.04'.
y = 7.5

Simplifying
y = 7.5

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