y+0.3y-2.2=-5.8y-37.7

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Solution for y+0.3y-2.2=-5.8y-37.7 equation: 


Simplifying
y + 0.3y + -2.2 = -5.8y + -37.7

Reorder the terms:
-2.2 + y + 0.3y = -5.8y + -37.7

Combine like terms: y + 0.3y = 1.3y
-2.2 + 1.3y = -5.8y + -37.7

Reorder the terms:
-2.2 + 1.3y = -37.7 + -5.8y

Solving
-2.2 + 1.3y = -37.7 + -5.8y

Solving for variable 'y'.

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

Add '5.8y' to each side of the equation.
-2.2 + 1.3y + 5.8y = -37.7 + -5.8y + 5.8y

Combine like terms: 1.3y + 5.8y = 7.1y
-2.2 + 7.1y = -37.7 + -5.8y + 5.8y

Combine like terms: -5.8y + 5.8y = 0.0
-2.2 + 7.1y = -37.7 + 0.0
-2.2 + 7.1y = -37.7

Add '2.2' to each side of the equation.
-2.2 + 2.2 + 7.1y = -37.7 + 2.2

Combine like terms: -2.2 + 2.2 = 0.0
0.0 + 7.1y = -37.7 + 2.2
7.1y = -37.7 + 2.2

Combine like terms: -37.7 + 2.2 = -35.5
7.1y = -35.5

Divide each side by '7.1'.
y = -5

Simplifying
y = -5

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