0.16(y-9)+0.02y=0.20y-1.5

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Solution for 0.16(y-9)+0.02y=0.20y-1.5 equation: 


Simplifying
0.16(y + -9) + 0.02y = 0.20y + -1.5

Reorder the terms:
0.16(-9 + y) + 0.02y = 0.20y + -1.5
(-9 * 0.16 + y * 0.16) + 0.02y = 0.20y + -1.5
(-1.44 + 0.16y) + 0.02y = 0.20y + -1.5

Combine like terms: 0.16y + 0.02y = 0.18y
-1.44 + 0.18y = 0.20y + -1.5

Reorder the terms:
-1.44 + 0.18y = -1.5 + 0.20y

Solving
-1.44 + 0.18y = -1.5 + 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.
-1.44 + 0.18y + -0.20y = -1.5 + 0.20y + -0.20y

Combine like terms: 0.18y + -0.20y = -0.02y
-1.44 + -0.02y = -1.5 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-1.44 + -0.02y = -1.5 + 0.00
-1.44 + -0.02y = -1.5

Add '1.44' to each side of the equation.
-1.44 + 1.44 + -0.02y = -1.5 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + -0.02y = -1.5 + 1.44
-0.02y = -1.5 + 1.44

Combine like terms: -1.5 + 1.44 = -0.06
-0.02y = -0.06

Divide each side by '-0.02'.
y = 3

Simplifying
y = 3

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