52+5y-13=16y-10-4y

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Solution for 52+5y-13=16y-10-4y equation:


Simplifying
52 + 5y + -13 = 16y + -10 + -4y

Reorder the terms:
52 + -13 + 5y = 16y + -10 + -4y

Combine like terms: 52 + -13 = 39
39 + 5y = 16y + -10 + -4y

Reorder the terms:
39 + 5y = -10 + 16y + -4y

Combine like terms: 16y + -4y = 12y
39 + 5y = -10 + 12y

Solving
39 + 5y = -10 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
39 + 5y + -12y = -10 + 12y + -12y

Combine like terms: 5y + -12y = -7y
39 + -7y = -10 + 12y + -12y

Combine like terms: 12y + -12y = 0
39 + -7y = -10 + 0
39 + -7y = -10

Add '-39' to each side of the equation.
39 + -39 + -7y = -10 + -39

Combine like terms: 39 + -39 = 0
0 + -7y = -10 + -39
-7y = -10 + -39

Combine like terms: -10 + -39 = -49
-7y = -49

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

Simplifying
y = 7

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