y-0.6y-5.8=-2(y-3.1)

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Solution for y-0.6y-5.8=-2(y-3.1) equation: 


Simplifying
y + -0.6y + -5.8 = -2(y + -3.1)

Reorder the terms:
-5.8 + y + -0.6y = -2(y + -3.1)

Combine like terms: y + -0.6y = 0.4y
-5.8 + 0.4y = -2(y + -3.1)

Reorder the terms:
-5.8 + 0.4y = -2(-3.1 + y)
-5.8 + 0.4y = (-3.1 * -2 + y * -2)
-5.8 + 0.4y = (6.2 + -2y)

Solving
-5.8 + 0.4y = 6.2 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-5.8 + 0.4y + 2y = 6.2 + -2y + 2y

Combine like terms: 0.4y + 2y = 2.4y
-5.8 + 2.4y = 6.2 + -2y + 2y

Combine like terms: -2y + 2y = 0
-5.8 + 2.4y = 6.2 + 0
-5.8 + 2.4y = 6.2

Add '5.8' to each side of the equation.
-5.8 + 5.8 + 2.4y = 6.2 + 5.8

Combine like terms: -5.8 + 5.8 = 0.0
0.0 + 2.4y = 6.2 + 5.8
2.4y = 6.2 + 5.8

Combine like terms: 6.2 + 5.8 = 12
2.4y = 12

Divide each side by '2.4'.
y = 5

Simplifying
y = 5

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