0.16(y-9)+0.18y=0.10y-0.3

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Solution for 0.16(y-9)+0.18y=0.10y-0.3 equation: 


Simplifying
0.16(y + -9) + 0.18y = 0.10y + -0.3

Reorder the terms:
0.16(-9 + y) + 0.18y = 0.10y + -0.3
(-9 * 0.16 + y * 0.16) + 0.18y = 0.10y + -0.3
(-1.44 + 0.16y) + 0.18y = 0.10y + -0.3

Combine like terms: 0.16y + 0.18y = 0.34y
-1.44 + 0.34y = 0.10y + -0.3

Reorder the terms:
-1.44 + 0.34y = -0.3 + 0.10y

Solving
-1.44 + 0.34y = -0.3 + 0.10y

Solving for variable 'y'.

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

Add '-0.10y' to each side of the equation.
-1.44 + 0.34y + -0.10y = -0.3 + 0.10y + -0.10y

Combine like terms: 0.34y + -0.10y = 0.24y
-1.44 + 0.24y = -0.3 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-1.44 + 0.24y = -0.3 + 0.00
-1.44 + 0.24y = -0.3

Add '1.44' to each side of the equation.
-1.44 + 1.44 + 0.24y = -0.3 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + 0.24y = -0.3 + 1.44
0.24y = -0.3 + 1.44

Combine like terms: -0.3 + 1.44 = 1.14
0.24y = 1.14

Divide each side by '0.24'.
y = 4.75

Simplifying
y = 4.75

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