0.02(y-3)+0.10y=0.20y-0.6

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Solution for 0.02(y-3)+0.10y=0.20y-0.6 equation: 


Simplifying
0.02(y + -3) + 0.10y = 0.20y + -0.6

Reorder the terms:
0.02(-3 + y) + 0.10y = 0.20y + -0.6
(-3 * 0.02 + y * 0.02) + 0.10y = 0.20y + -0.6
(-0.06 + 0.02y) + 0.10y = 0.20y + -0.6

Combine like terms: 0.02y + 0.10y = 0.12y
-0.06 + 0.12y = 0.20y + -0.6

Reorder the terms:
-0.06 + 0.12y = -0.6 + 0.20y

Solving
-0.06 + 0.12y = -0.6 + 0.20y

Solving for variable 'y'.

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

Add '-0.20y' to each side of the equation.
-0.06 + 0.12y + -0.20y = -0.6 + 0.20y + -0.20y

Combine like terms: 0.12y + -0.20y = -0.08y
-0.06 + -0.08y = -0.6 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.06 + -0.08y = -0.6 + 0.00
-0.06 + -0.08y = -0.6

Add '0.06' to each side of the equation.
-0.06 + 0.06 + -0.08y = -0.6 + 0.06

Combine like terms: -0.06 + 0.06 = 0.00
0.00 + -0.08y = -0.6 + 0.06
-0.08y = -0.6 + 0.06

Combine like terms: -0.6 + 0.06 = -0.54
-0.08y = -0.54

Divide each side by '-0.08'.
y = 6.75

Simplifying
y = 6.75

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