0.18(y-9)+0.02y=0.1y-1

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Solution for 0.18(y-9)+0.02y=0.1y-1 equation: 


Simplifying
0.18(y + -9) + 0.02y = 0.1y + -1

Reorder the terms:
0.18(-9 + y) + 0.02y = 0.1y + -1
(-9 * 0.18 + y * 0.18) + 0.02y = 0.1y + -1
(-1.62 + 0.18y) + 0.02y = 0.1y + -1

Combine like terms: 0.18y + 0.02y = 0.2y
-1.62 + 0.2y = 0.1y + -1

Reorder the terms:
-1.62 + 0.2y = -1 + 0.1y

Solving
-1.62 + 0.2y = -1 + 0.1y

Solving for variable 'y'.

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

Add '-0.1y' to each side of the equation.
-1.62 + 0.2y + -0.1y = -1 + 0.1y + -0.1y

Combine like terms: 0.2y + -0.1y = 0.1y
-1.62 + 0.1y = -1 + 0.1y + -0.1y

Combine like terms: 0.1y + -0.1y = 0.0
-1.62 + 0.1y = -1 + 0.0
-1.62 + 0.1y = -1

Add '1.62' to each side of the equation.
-1.62 + 1.62 + 0.1y = -1 + 1.62

Combine like terms: -1.62 + 1.62 = 0.00
0.00 + 0.1y = -1 + 1.62
0.1y = -1 + 1.62

Combine like terms: -1 + 1.62 = 0.62
0.1y = 0.62

Divide each side by '0.1'.
y = 6.2

Simplifying
y = 6.2

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