(12y-10)=(5y+11)

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Solution for (12y-10)=(5y+11) equation:


Simplifying
(12y + -10) = (5y + 11)

Reorder the terms:
(-10 + 12y) = (5y + 11)

Remove parenthesis around (-10 + 12y)
-10 + 12y = (5y + 11)

Reorder the terms:
-10 + 12y = (11 + 5y)

Remove parenthesis around (11 + 5y)
-10 + 12y = 11 + 5y

Solving
-10 + 12y = 11 + 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.
-10 + 12y + -5y = 11 + 5y + -5y

Combine like terms: 12y + -5y = 7y
-10 + 7y = 11 + 5y + -5y

Combine like terms: 5y + -5y = 0
-10 + 7y = 11 + 0
-10 + 7y = 11

Add '10' to each side of the equation.
-10 + 10 + 7y = 11 + 10

Combine like terms: -10 + 10 = 0
0 + 7y = 11 + 10
7y = 11 + 10

Combine like terms: 11 + 10 = 21
7y = 21

Divide each side by '7'.
y = 3

Simplifying
y = 3

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