0.20(y-6)+0.02y=0.12y-0.7

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Solution for 0.20(y-6)+0.02y=0.12y-0.7 equation: 


Simplifying
0.20(y + -6) + 0.02y = 0.12y + -0.7

Reorder the terms:
0.20(-6 + y) + 0.02y = 0.12y + -0.7
(-6 * 0.20 + y * 0.20) + 0.02y = 0.12y + -0.7
(-1.2 + 0.20y) + 0.02y = 0.12y + -0.7

Combine like terms: 0.20y + 0.02y = 0.22y
-1.2 + 0.22y = 0.12y + -0.7

Reorder the terms:
-1.2 + 0.22y = -0.7 + 0.12y

Solving
-1.2 + 0.22y = -0.7 + 0.12y

Solving for variable 'y'.

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

Add '-0.12y' to each side of the equation.
-1.2 + 0.22y + -0.12y = -0.7 + 0.12y + -0.12y

Combine like terms: 0.22y + -0.12y = 0.1y
-1.2 + 0.1y = -0.7 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-1.2 + 0.1y = -0.7 + 0.00
-1.2 + 0.1y = -0.7

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.1y = -0.7 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.1y = -0.7 + 1.2
0.1y = -0.7 + 1.2

Combine like terms: -0.7 + 1.2 = 0.5
0.1y = 0.5

Divide each side by '0.1'.
y = 5

Simplifying
y = 5

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