0.16(y-9)+0.12y=0.08y-0.9

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Solution for 0.16(y-9)+0.12y=0.08y-0.9 equation:


Simplifying
0.16(y + -9) + 0.12y = 0.08y + -0.9

Reorder the terms:
0.16(-9 + y) + 0.12y = 0.08y + -0.9
(-9 * 0.16 + y * 0.16) + 0.12y = 0.08y + -0.9
(-1.44 + 0.16y) + 0.12y = 0.08y + -0.9

Combine like terms: 0.16y + 0.12y = 0.28y
-1.44 + 0.28y = 0.08y + -0.9

Reorder the terms:
-1.44 + 0.28y = -0.9 + 0.08y

Solving
-1.44 + 0.28y = -0.9 + 0.08y

Solving for variable 'y'.

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

Add '-0.08y' to each side of the equation.
-1.44 + 0.28y + -0.08y = -0.9 + 0.08y + -0.08y

Combine like terms: 0.28y + -0.08y = 0.2y
-1.44 + 0.2y = -0.9 + 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
-1.44 + 0.2y = -0.9 + 0.00
-1.44 + 0.2y = -0.9

Add '1.44' to each side of the equation.
-1.44 + 1.44 + 0.2y = -0.9 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + 0.2y = -0.9 + 1.44
0.2y = -0.9 + 1.44

Combine like terms: -0.9 + 1.44 = 0.54
0.2y = 0.54

Divide each side by '0.2'.
y = 2.7

Simplifying
y = 2.7

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