0.10(y-1)+0.08y=0.02y-0.3

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Solution for 0.10(y-1)+0.08y=0.02y-0.3 equation: 


Simplifying
0.10(y + -1) + 0.08y = 0.02y + -0.3

Reorder the terms:
0.10(-1 + y) + 0.08y = 0.02y + -0.3
(-1 * 0.10 + y * 0.10) + 0.08y = 0.02y + -0.3
(-0.1 + 0.10y) + 0.08y = 0.02y + -0.3

Combine like terms: 0.10y + 0.08y = 0.18y
-0.1 + 0.18y = 0.02y + -0.3

Reorder the terms:
-0.1 + 0.18y = -0.3 + 0.02y

Solving
-0.1 + 0.18y = -0.3 + 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 + 0.18y + -0.02y = -0.3 + 0.02y + -0.02y

Combine like terms: 0.18y + -0.02y = 0.16y
-0.1 + 0.16y = -0.3 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.1 + 0.16y = -0.3 + 0.00
-0.1 + 0.16y = -0.3

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 0.16y = -0.3 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 0.16y = -0.3 + 0.1
0.16y = -0.3 + 0.1

Combine like terms: -0.3 + 0.1 = -0.2
0.16y = -0.2

Divide each side by '0.16'.
y = -1.25

Simplifying
y = -1.25

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