0.16(y-9)+0.04y=0.10y-1.2

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Solution for 0.16(y-9)+0.04y=0.10y-1.2 equation: 


Simplifying
0.16(y + -9) + 0.04y = 0.10y + -1.2

Reorder the terms:
0.16(-9 + y) + 0.04y = 0.10y + -1.2
(-9 * 0.16 + y * 0.16) + 0.04y = 0.10y + -1.2
(-1.44 + 0.16y) + 0.04y = 0.10y + -1.2

Combine like terms: 0.16y + 0.04y = 0.2y
-1.44 + 0.2y = 0.10y + -1.2

Reorder the terms:
-1.44 + 0.2y = -1.2 + 0.10y

Solving
-1.44 + 0.2y = -1.2 + 0.10y

Solving for variable 'y'.

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

Add '-0.10y' to each side of the equation.
-1.44 + 0.2y + -0.10y = -1.2 + 0.10y + -0.10y

Combine like terms: 0.2y + -0.10y = 0.1y
-1.44 + 0.1y = -1.2 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-1.44 + 0.1y = -1.2 + 0.00
-1.44 + 0.1y = -1.2

Add '1.44' to each side of the equation.
-1.44 + 1.44 + 0.1y = -1.2 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + 0.1y = -1.2 + 1.44
0.1y = -1.2 + 1.44

Combine like terms: -1.2 + 1.44 = 0.24
0.1y = 0.24

Divide each side by '0.1'.
y = 2.4

Simplifying
y = 2.4

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