(3.2y-1.8)-(5.2y+3.4)=-5.8

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Solution for (3.2y-1.8)-(5.2y+3.4)=-5.8 equation: 


Simplifying
(3.2y + -1.8) + -1(5.2y + 3.4) = -5.8

Reorder the terms:
(-1.8 + 3.2y) + -1(5.2y + 3.4) = -5.8

Remove parenthesis around (-1.8 + 3.2y)
-1.8 + 3.2y + -1(5.2y + 3.4) = -5.8

Reorder the terms:
-1.8 + 3.2y + -1(3.4 + 5.2y) = -5.8
-1.8 + 3.2y + (3.4 * -1 + 5.2y * -1) = -5.8
-1.8 + 3.2y + (-3.4 + -5.2y) = -5.8

Reorder the terms:
-1.8 + -3.4 + 3.2y + -5.2y = -5.8

Combine like terms: -1.8 + -3.4 = -5.2
-5.2 + 3.2y + -5.2y = -5.8

Combine like terms: 3.2y + -5.2y = -2y
-5.2 + -2y = -5.8

Solving
-5.2 + -2y = -5.8

Solving for variable 'y'.

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

Add '5.2' to each side of the equation.
-5.2 + 5.2 + -2y = -5.8 + 5.2

Combine like terms: -5.2 + 5.2 = 0.0
0.0 + -2y = -5.8 + 5.2
-2y = -5.8 + 5.2

Combine like terms: -5.8 + 5.2 = -0.6
-2y = -0.6

Divide each side by '-2'.
y = 0.3

Simplifying
y = 0.3

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