(3y+11)=(5y-3)

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Solution for (3y+11)=(5y-3) equation: 


Simplifying
(3y + 11) = (5y + -3)

Reorder the terms:
(11 + 3y) = (5y + -3)

Remove parenthesis around (11 + 3y)
11 + 3y = (5y + -3)

Reorder the terms:
11 + 3y = (-3 + 5y)

Remove parenthesis around (-3 + 5y)
11 + 3y = -3 + 5y

Solving
11 + 3y = -3 + 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.
11 + 3y + -5y = -3 + 5y + -5y

Combine like terms: 3y + -5y = -2y
11 + -2y = -3 + 5y + -5y

Combine like terms: 5y + -5y = 0
11 + -2y = -3 + 0
11 + -2y = -3

Add '-11' to each side of the equation.
11 + -11 + -2y = -3 + -11

Combine like terms: 11 + -11 = 0
0 + -2y = -3 + -11
-2y = -3 + -11

Combine like terms: -3 + -11 = -14
-2y = -14

Divide each side by '-2'.
y = 7

Simplifying
y = 7

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