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

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


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

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

Reorder the terms:
-0.1 + 0.08 + 0.10y = 0.02y + -0.3

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

Reorder the terms:
-0.02 + 0.10y = -0.3 + 0.02y

Solving
-0.02 + 0.10y = -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.
-0.02 + 0.10y + -0.02y = -0.3 + 0.02y + -0.02y

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

Combine like terms: 0.02y + -0.02y = 0.00
-0.02 + 0.08y = -0.3 + 0.00
-0.02 + 0.08y = -0.3

Add '0.02' to each side of the equation.
-0.02 + 0.02 + 0.08y = -0.3 + 0.02

Combine like terms: -0.02 + 0.02 = 0.00
0.00 + 0.08y = -0.3 + 0.02
0.08y = -0.3 + 0.02

Combine like terms: -0.3 + 0.02 = -0.28
0.08y = -0.28

Divide each side by '0.08'.
y = -3.5

Simplifying
y = -3.5

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