0.20(y-9)+0.06y=0.10y-1.4

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Solution for 0.20(y-9)+0.06y=0.10y-1.4 equation: 


Simplifying
0.20(y + -9) + 0.06y = 0.10y + -1.4

Reorder the terms:
0.20(-9 + y) + 0.06y = 0.10y + -1.4
(-9 * 0.20 + y * 0.20) + 0.06y = 0.10y + -1.4
(-1.8 + 0.20y) + 0.06y = 0.10y + -1.4

Combine like terms: 0.20y + 0.06y = 0.26y
-1.8 + 0.26y = 0.10y + -1.4

Reorder the terms:
-1.8 + 0.26y = -1.4 + 0.10y

Solving
-1.8 + 0.26y = -1.4 + 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.
-1.8 + 0.26y + -0.10y = -1.4 + 0.10y + -0.10y

Combine like terms: 0.26y + -0.10y = 0.16y
-1.8 + 0.16y = -1.4 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-1.8 + 0.16y = -1.4 + 0.00
-1.8 + 0.16y = -1.4

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 0.16y = -1.4 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 0.16y = -1.4 + 1.8
0.16y = -1.4 + 1.8

Combine like terms: -1.4 + 1.8 = 0.4
0.16y = 0.4

Divide each side by '0.16'.
y = 2.5

Simplifying
y = 2.5

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