(3y+5.2)=(2-5y)

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Solution for (3y+5.2)=(2-5y) equation:


Simplifying
(3y + 5.2) = (2 + -5y)

Reorder the terms:
(5.2 + 3y) = (2 + -5y)

Remove parenthesis around (5.2 + 3y)
5.2 + 3y = (2 + -5y)

Remove parenthesis around (2 + -5y)
5.2 + 3y = 2 + -5y

Solving
5.2 + 3y = 2 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
5.2 + 3y + 5y = 2 + -5y + 5y

Combine like terms: 3y + 5y = 8y
5.2 + 8y = 2 + -5y + 5y

Combine like terms: -5y + 5y = 0
5.2 + 8y = 2 + 0
5.2 + 8y = 2

Add '-5.2' to each side of the equation.
5.2 + -5.2 + 8y = 2 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + 8y = 2 + -5.2
8y = 2 + -5.2

Combine like terms: 2 + -5.2 = -3.2
8y = -3.2

Divide each side by '8'.
y = -0.4

Simplifying
y = -0.4

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