0.14(y-8)+0.16y=0.20y-0.9

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Solution for 0.14(y-8)+0.16y=0.20y-0.9 equation: 


Simplifying
0.14(y + -8) + 0.16y = 0.20y + -0.9

Reorder the terms:
0.14(-8 + y) + 0.16y = 0.20y + -0.9
(-8 * 0.14 + y * 0.14) + 0.16y = 0.20y + -0.9
(-1.12 + 0.14y) + 0.16y = 0.20y + -0.9

Combine like terms: 0.14y + 0.16y = 0.3y
-1.12 + 0.3y = 0.20y + -0.9

Reorder the terms:
-1.12 + 0.3y = -0.9 + 0.20y

Solving
-1.12 + 0.3y = -0.9 + 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.
-1.12 + 0.3y + -0.20y = -0.9 + 0.20y + -0.20y

Combine like terms: 0.3y + -0.20y = 0.1y
-1.12 + 0.1y = -0.9 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-1.12 + 0.1y = -0.9 + 0.00
-1.12 + 0.1y = -0.9

Add '1.12' to each side of the equation.
-1.12 + 1.12 + 0.1y = -0.9 + 1.12

Combine like terms: -1.12 + 1.12 = 0.00
0.00 + 0.1y = -0.9 + 1.12
0.1y = -0.9 + 1.12

Combine like terms: -0.9 + 1.12 = 0.22
0.1y = 0.22

Divide each side by '0.1'.
y = 2.2

Simplifying
y = 2.2

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