(5y+5)=(13y-5)

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Solution for (5y+5)=(13y-5) equation:


Simplifying
(5y + 5) = (13y + -5)

Reorder the terms:
(5 + 5y) = (13y + -5)

Remove parenthesis around (5 + 5y)
5 + 5y = (13y + -5)

Reorder the terms:
5 + 5y = (-5 + 13y)

Remove parenthesis around (-5 + 13y)
5 + 5y = -5 + 13y

Solving
5 + 5y = -5 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
5 + 5y + -13y = -5 + 13y + -13y

Combine like terms: 5y + -13y = -8y
5 + -8y = -5 + 13y + -13y

Combine like terms: 13y + -13y = 0
5 + -8y = -5 + 0
5 + -8y = -5

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

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

Combine like terms: -5 + -5 = -10
-8y = -10

Divide each side by '-8'.
y = 1.25

Simplifying
y = 1.25

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