3y+8=2-5y

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Solution for 3y+8=2-5y equation:


Simplifying
3y + 8 = 2 + -5y

Reorder the terms:
8 + 3y = 2 + -5y

Solving
8 + 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.
8 + 3y + 5y = 2 + -5y + 5y

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

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

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

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

Combine like terms: 2 + -8 = -6
8y = -6

Divide each side by '8'.
y = -0.75

Simplifying
y = -0.75

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