0.10(y-5)+0.06y=0.12y-0.4

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Solution for 0.10(y-5)+0.06y=0.12y-0.4 equation: 


Simplifying
0.10(y + -5) + 0.06y = 0.12y + -0.4

Reorder the terms:
0.10(-5 + y) + 0.06y = 0.12y + -0.4
(-5 * 0.10 + y * 0.10) + 0.06y = 0.12y + -0.4
(-0.5 + 0.10y) + 0.06y = 0.12y + -0.4

Combine like terms: 0.10y + 0.06y = 0.16y
-0.5 + 0.16y = 0.12y + -0.4

Reorder the terms:
-0.5 + 0.16y = -0.4 + 0.12y

Solving
-0.5 + 0.16y = -0.4 + 0.12y

Solving for variable 'y'.

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

Add '-0.12y' to each side of the equation.
-0.5 + 0.16y + -0.12y = -0.4 + 0.12y + -0.12y

Combine like terms: 0.16y + -0.12y = 0.04y
-0.5 + 0.04y = -0.4 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-0.5 + 0.04y = -0.4 + 0.00
-0.5 + 0.04y = -0.4

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.04y = -0.4 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.04y = -0.4 + 0.5
0.04y = -0.4 + 0.5

Combine like terms: -0.4 + 0.5 = 0.1
0.04y = 0.1

Divide each side by '0.04'.
y = 2.5

Simplifying
y = 2.5

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