(8y+36)=(14y-24)

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Solution for (8y+36)=(14y-24) equation:


Simplifying
(8y + 36) = (14y + -24)

Reorder the terms:
(36 + 8y) = (14y + -24)

Remove parenthesis around (36 + 8y)
36 + 8y = (14y + -24)

Reorder the terms:
36 + 8y = (-24 + 14y)

Remove parenthesis around (-24 + 14y)
36 + 8y = -24 + 14y

Solving
36 + 8y = -24 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
36 + 8y + -14y = -24 + 14y + -14y

Combine like terms: 8y + -14y = -6y
36 + -6y = -24 + 14y + -14y

Combine like terms: 14y + -14y = 0
36 + -6y = -24 + 0
36 + -6y = -24

Add '-36' to each side of the equation.
36 + -36 + -6y = -24 + -36

Combine like terms: 36 + -36 = 0
0 + -6y = -24 + -36
-6y = -24 + -36

Combine like terms: -24 + -36 = -60
-6y = -60

Divide each side by '-6'.
y = 10

Simplifying
y = 10

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