0.10(y-1)+0.20y=0.02y-1.5

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Solution for 0.10(y-1)+0.20y=0.02y-1.5 equation: 


Simplifying
0.10(y + -1) + 0.20y = 0.02y + -1.5

Reorder the terms:
0.10(-1 + y) + 0.20y = 0.02y + -1.5
(-1 * 0.10 + y * 0.10) + 0.20y = 0.02y + -1.5
(-0.1 + 0.10y) + 0.20y = 0.02y + -1.5

Combine like terms: 0.10y + 0.20y = 0.3y
-0.1 + 0.3y = 0.02y + -1.5

Reorder the terms:
-0.1 + 0.3y = -1.5 + 0.02y

Solving
-0.1 + 0.3y = -1.5 + 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.
-0.1 + 0.3y + -0.02y = -1.5 + 0.02y + -0.02y

Combine like terms: 0.3y + -0.02y = 0.28y
-0.1 + 0.28y = -1.5 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.1 + 0.28y = -1.5 + 0.00
-0.1 + 0.28y = -1.5

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 0.28y = -1.5 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 0.28y = -1.5 + 0.1
0.28y = -1.5 + 0.1

Combine like terms: -1.5 + 0.1 = -1.4
0.28y = -1.4

Divide each side by '0.28'.
y = -5

Simplifying
y = -5

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