0.2y-0.1=-5.2-0.3(3y-6)

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Solution for 0.2y-0.1=-5.2-0.3(3y-6) equation: 


Simplifying
0.2y + -0.1 = -5.2 + -0.3(3y + -6)

Reorder the terms:
-0.1 + 0.2y = -5.2 + -0.3(3y + -6)

Reorder the terms:
-0.1 + 0.2y = -5.2 + -0.3(-6 + 3y)
-0.1 + 0.2y = -5.2 + (-6 * -0.3 + 3y * -0.3)
-0.1 + 0.2y = -5.2 + (1.8 + -0.9y)

Combine like terms: -5.2 + 1.8 = -3.4
-0.1 + 0.2y = -3.4 + -0.9y

Solving
-0.1 + 0.2y = -3.4 + -0.9y

Solving for variable 'y'.

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

Add '0.9y' to each side of the equation.
-0.1 + 0.2y + 0.9y = -3.4 + -0.9y + 0.9y

Combine like terms: 0.2y + 0.9y = 1.1y
-0.1 + 1.1y = -3.4 + -0.9y + 0.9y

Combine like terms: -0.9y + 0.9y = 0.0
-0.1 + 1.1y = -3.4 + 0.0
-0.1 + 1.1y = -3.4

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 1.1y = -3.4 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 1.1y = -3.4 + 0.1
1.1y = -3.4 + 0.1

Combine like terms: -3.4 + 0.1 = -3.3
1.1y = -3.3

Divide each side by '1.1'.
y = -3

Simplifying
y = -3

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