0.14(y-9)+0.16y=0.20y-1.8

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Solution for 0.14(y-9)+0.16y=0.20y-1.8 equation: 


Simplifying
0.14(y + -9) + 0.16y = 0.20y + -1.8

Reorder the terms:
0.14(-9 + y) + 0.16y = 0.20y + -1.8
(-9 * 0.14 + y * 0.14) + 0.16y = 0.20y + -1.8
(-1.26 + 0.14y) + 0.16y = 0.20y + -1.8

Combine like terms: 0.14y + 0.16y = 0.3y
-1.26 + 0.3y = 0.20y + -1.8

Reorder the terms:
-1.26 + 0.3y = -1.8 + 0.20y

Solving
-1.26 + 0.3y = -1.8 + 0.20y

Solving for variable 'y'.

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

Add '-0.20y' to each side of the equation.
-1.26 + 0.3y + -0.20y = -1.8 + 0.20y + -0.20y

Combine like terms: 0.3y + -0.20y = 0.1y
-1.26 + 0.1y = -1.8 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-1.26 + 0.1y = -1.8 + 0.00
-1.26 + 0.1y = -1.8

Add '1.26' to each side of the equation.
-1.26 + 1.26 + 0.1y = -1.8 + 1.26

Combine like terms: -1.26 + 1.26 = 0.00
0.00 + 0.1y = -1.8 + 1.26
0.1y = -1.8 + 1.26

Combine like terms: -1.8 + 1.26 = -0.54
0.1y = -0.54

Divide each side by '0.1'.
y = -5.4

Simplifying
y = -5.4

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