0.10(y-1)+0.16y=0.14y-0.4

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Solution for 0.10(y-1)+0.16y=0.14y-0.4 equation: 


Simplifying
0.10(y + -1) + 0.16y = 0.14y + -0.4

Reorder the terms:
0.10(-1 + y) + 0.16y = 0.14y + -0.4
(-1 * 0.10 + y * 0.10) + 0.16y = 0.14y + -0.4
(-0.1 + 0.10y) + 0.16y = 0.14y + -0.4

Combine like terms: 0.10y + 0.16y = 0.26y
-0.1 + 0.26y = 0.14y + -0.4

Reorder the terms:
-0.1 + 0.26y = -0.4 + 0.14y

Solving
-0.1 + 0.26y = -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.
-0.1 + 0.26y + -0.14y = -0.4 + 0.14y + -0.14y

Combine like terms: 0.26y + -0.14y = 0.12y
-0.1 + 0.12y = -0.4 + 0.14y + -0.14y

Combine like terms: 0.14y + -0.14y = 0.00
-0.1 + 0.12y = -0.4 + 0.00
-0.1 + 0.12y = -0.4

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 0.12y = -0.4 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 0.12y = -0.4 + 0.1
0.12y = -0.4 + 0.1

Combine like terms: -0.4 + 0.1 = -0.3
0.12y = -0.3

Divide each side by '0.12'.
y = -2.5

Simplifying
y = -2.5

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