3y+5=8y-6

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Solution for 3y+5=8y-6 equation:


Simplifying
3y + 5 = 8y + -6

Reorder the terms:
5 + 3y = 8y + -6

Reorder the terms:
5 + 3y = -6 + 8y

Solving
5 + 3y = -6 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
5 + 3y + -8y = -6 + 8y + -8y

Combine like terms: 3y + -8y = -5y
5 + -5y = -6 + 8y + -8y

Combine like terms: 8y + -8y = 0
5 + -5y = -6 + 0
5 + -5y = -6

Add '-5' to each side of the equation.
5 + -5 + -5y = -6 + -5

Combine like terms: 5 + -5 = 0
0 + -5y = -6 + -5
-5y = -6 + -5

Combine like terms: -6 + -5 = -11
-5y = -11

Divide each side by '-5'.
y = 2.2

Simplifying
y = 2.2

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