(12y-5)=(7y-35)

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Solution for (12y-5)=(7y-35) equation:


Simplifying
(12y + -5) = (7y + -35)

Reorder the terms:
(-5 + 12y) = (7y + -35)

Remove parenthesis around (-5 + 12y)
-5 + 12y = (7y + -35)

Reorder the terms:
-5 + 12y = (-35 + 7y)

Remove parenthesis around (-35 + 7y)
-5 + 12y = -35 + 7y

Solving
-5 + 12y = -35 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-5 + 12y + -7y = -35 + 7y + -7y

Combine like terms: 12y + -7y = 5y
-5 + 5y = -35 + 7y + -7y

Combine like terms: 7y + -7y = 0
-5 + 5y = -35 + 0
-5 + 5y = -35

Add '5' to each side of the equation.
-5 + 5 + 5y = -35 + 5

Combine like terms: -5 + 5 = 0
0 + 5y = -35 + 5
5y = -35 + 5

Combine like terms: -35 + 5 = -30
5y = -30

Divide each side by '5'.
y = -6

Simplifying
y = -6

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