0.10(y-4)+0.06y=0.12y-0.5

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Solution for 0.10(y-4)+0.06y=0.12y-0.5 equation: 


Simplifying
0.10(y + -4) + 0.06y = 0.12y + -0.5

Reorder the terms:
0.10(-4 + y) + 0.06y = 0.12y + -0.5
(-4 * 0.10 + y * 0.10) + 0.06y = 0.12y + -0.5
(-0.4 + 0.10y) + 0.06y = 0.12y + -0.5

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

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

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

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

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

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

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

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

Divide each side by '0.04'.
y = -2.5

Simplifying
y = -2.5

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