0.16(y-9)+0.02y=0.06y-0.9

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Solution for 0.16(y-9)+0.02y=0.06y-0.9 equation: 


Simplifying
0.16(y + -9) + 0.02y = 0.06y + -0.9

Reorder the terms:
0.16(-9 + y) + 0.02y = 0.06y + -0.9
(-9 * 0.16 + y * 0.16) + 0.02y = 0.06y + -0.9
(-1.44 + 0.16y) + 0.02y = 0.06y + -0.9

Combine like terms: 0.16y + 0.02y = 0.18y
-1.44 + 0.18y = 0.06y + -0.9

Reorder the terms:
-1.44 + 0.18y = -0.9 + 0.06y

Solving
-1.44 + 0.18y = -0.9 + 0.06y

Solving for variable 'y'.

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

Add '-0.06y' to each side of the equation.
-1.44 + 0.18y + -0.06y = -0.9 + 0.06y + -0.06y

Combine like terms: 0.18y + -0.06y = 0.12y
-1.44 + 0.12y = -0.9 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-1.44 + 0.12y = -0.9 + 0.00
-1.44 + 0.12y = -0.9

Add '1.44' to each side of the equation.
-1.44 + 1.44 + 0.12y = -0.9 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + 0.12y = -0.9 + 1.44
0.12y = -0.9 + 1.44

Combine like terms: -0.9 + 1.44 = 0.54
0.12y = 0.54

Divide each side by '0.12'.
y = 4.5

Simplifying
y = 4.5

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