52+4y-20=13y-10-2y

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Solution for 52+4y-20=13y-10-2y equation: 


Simplifying
52 + 4y + -20 = 13y + -10 + -2y

Reorder the terms:
52 + -20 + 4y = 13y + -10 + -2y

Combine like terms: 52 + -20 = 32
32 + 4y = 13y + -10 + -2y

Reorder the terms:
32 + 4y = -10 + 13y + -2y

Combine like terms: 13y + -2y = 11y
32 + 4y = -10 + 11y

Solving
32 + 4y = -10 + 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.
32 + 4y + -11y = -10 + 11y + -11y

Combine like terms: 4y + -11y = -7y
32 + -7y = -10 + 11y + -11y

Combine like terms: 11y + -11y = 0
32 + -7y = -10 + 0
32 + -7y = -10

Add '-32' to each side of the equation.
32 + -32 + -7y = -10 + -32

Combine like terms: 32 + -32 = 0
0 + -7y = -10 + -32
-7y = -10 + -32

Combine like terms: -10 + -32 = -42
-7y = -42

Divide each side by '-7'.
y = 6

Simplifying
y = 6

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