0.16(y-9)+0.08y=0.14y-0.5

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Solution for 0.16(y-9)+0.08y=0.14y-0.5 equation: 


Simplifying
0.16(y + -9) + 0.08y = 0.14y + -0.5

Reorder the terms:
0.16(-9 + y) + 0.08y = 0.14y + -0.5
(-9 * 0.16 + y * 0.16) + 0.08y = 0.14y + -0.5
(-1.44 + 0.16y) + 0.08y = 0.14y + -0.5

Combine like terms: 0.16y + 0.08y = 0.24y
-1.44 + 0.24y = 0.14y + -0.5

Reorder the terms:
-1.44 + 0.24y = -0.5 + 0.14y

Solving
-1.44 + 0.24y = -0.5 + 0.14y

Solving for variable 'y'.

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

Add '-0.14y' to each side of the equation.
-1.44 + 0.24y + -0.14y = -0.5 + 0.14y + -0.14y

Combine like terms: 0.24y + -0.14y = 0.1y
-1.44 + 0.1y = -0.5 + 0.14y + -0.14y

Combine like terms: 0.14y + -0.14y = 0.00
-1.44 + 0.1y = -0.5 + 0.00
-1.44 + 0.1y = -0.5

Add '1.44' to each side of the equation.
-1.44 + 1.44 + 0.1y = -0.5 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + 0.1y = -0.5 + 1.44
0.1y = -0.5 + 1.44

Combine like terms: -0.5 + 1.44 = 0.94
0.1y = 0.94

Divide each side by '0.1'.
y = 9.4

Simplifying
y = 9.4

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