52+4y-16=13y-13-2y

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Solution for 52+4y-16=13y-13-2y equation: 


Simplifying
52 + 4y + -16 = 13y + -13 + -2y

Reorder the terms:
52 + -16 + 4y = 13y + -13 + -2y

Combine like terms: 52 + -16 = 36
36 + 4y = 13y + -13 + -2y

Reorder the terms:
36 + 4y = -13 + 13y + -2y

Combine like terms: 13y + -2y = 11y
36 + 4y = -13 + 11y

Solving
36 + 4y = -13 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
36 + 4y + -11y = -13 + 11y + -11y

Combine like terms: 4y + -11y = -7y
36 + -7y = -13 + 11y + -11y

Combine like terms: 11y + -11y = 0
36 + -7y = -13 + 0
36 + -7y = -13

Add '-36' to each side of the equation.
36 + -36 + -7y = -13 + -36

Combine like terms: 36 + -36 = 0
0 + -7y = -13 + -36
-7y = -13 + -36

Combine like terms: -13 + -36 = -49
-7y = -49

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

Simplifying
y = 7

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