3y-(13y-13)=53

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Solution for 3y-(13y-13)=53 equation: 


Simplifying
3y + -1(13y + -13) = 53

Reorder the terms:
3y + -1(-13 + 13y) = 53
3y + (-13 * -1 + 13y * -1) = 53
3y + (13 + -13y) = 53

Reorder the terms:
13 + 3y + -13y = 53

Combine like terms: 3y + -13y = -10y
13 + -10y = 53

Solving
13 + -10y = 53

Solving for variable 'y'.

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

Add '-13' to each side of the equation.
13 + -13 + -10y = 53 + -13

Combine like terms: 13 + -13 = 0
0 + -10y = 53 + -13
-10y = 53 + -13

Combine like terms: 53 + -13 = 40
-10y = 40

Divide each side by '-10'.
y = -4

Simplifying
y = -4

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