0.10(y-4)+0.12y=0.02y-0.9

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Solution for 0.10(y-4)+0.12y=0.02y-0.9 equation: 


Simplifying
0.10(y + -4) + 0.12y = 0.02y + -0.9

Reorder the terms:
0.10(-4 + y) + 0.12y = 0.02y + -0.9
(-4 * 0.10 + y * 0.10) + 0.12y = 0.02y + -0.9
(-0.4 + 0.10y) + 0.12y = 0.02y + -0.9

Combine like terms: 0.10y + 0.12y = 0.22y
-0.4 + 0.22y = 0.02y + -0.9

Reorder the terms:
-0.4 + 0.22y = -0.9 + 0.02y

Solving
-0.4 + 0.22y = -0.9 + 0.02y

Solving for variable 'y'.

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

Add '-0.02y' to each side of the equation.
-0.4 + 0.22y + -0.02y = -0.9 + 0.02y + -0.02y

Combine like terms: 0.22y + -0.02y = 0.2y
-0.4 + 0.2y = -0.9 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.4 + 0.2y = -0.9 + 0.00
-0.4 + 0.2y = -0.9

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.2y = -0.9 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.2y = -0.9 + 0.4
0.2y = -0.9 + 0.4

Combine like terms: -0.9 + 0.4 = -0.5
0.2y = -0.5

Divide each side by '0.2'.
y = -2.5

Simplifying
y = -2.5

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