0.18(y-5)+0.20y=0.02y-1.8

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Solution for 0.18(y-5)+0.20y=0.02y-1.8 equation: 


Simplifying
0.18(y + -5) + 0.20y = 0.02y + -1.8

Reorder the terms:
0.18(-5 + y) + 0.20y = 0.02y + -1.8
(-5 * 0.18 + y * 0.18) + 0.20y = 0.02y + -1.8
(-0.9 + 0.18y) + 0.20y = 0.02y + -1.8

Combine like terms: 0.18y + 0.20y = 0.38y
-0.9 + 0.38y = 0.02y + -1.8

Reorder the terms:
-0.9 + 0.38y = -1.8 + 0.02y

Solving
-0.9 + 0.38y = -1.8 + 0.02y

Solving for variable 'y'.

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

Add '-0.02y' to each side of the equation.
-0.9 + 0.38y + -0.02y = -1.8 + 0.02y + -0.02y

Combine like terms: 0.38y + -0.02y = 0.36y
-0.9 + 0.36y = -1.8 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.9 + 0.36y = -1.8 + 0.00
-0.9 + 0.36y = -1.8

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 0.36y = -1.8 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 0.36y = -1.8 + 0.9
0.36y = -1.8 + 0.9

Combine like terms: -1.8 + 0.9 = -0.9
0.36y = -0.9

Divide each side by '0.36'.
y = -2.5

Simplifying
y = -2.5

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