57+5y-14=15y-13-2y

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Solution for 57+5y-14=15y-13-2y equation:


Simplifying
57 + 5y + -14 = 15y + -13 + -2y

Reorder the terms:
57 + -14 + 5y = 15y + -13 + -2y

Combine like terms: 57 + -14 = 43
43 + 5y = 15y + -13 + -2y

Reorder the terms:
43 + 5y = -13 + 15y + -2y

Combine like terms: 15y + -2y = 13y
43 + 5y = -13 + 13y

Solving
43 + 5y = -13 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
43 + 5y + -13y = -13 + 13y + -13y

Combine like terms: 5y + -13y = -8y
43 + -8y = -13 + 13y + -13y

Combine like terms: 13y + -13y = 0
43 + -8y = -13 + 0
43 + -8y = -13

Add '-43' to each side of the equation.
43 + -43 + -8y = -13 + -43

Combine like terms: 43 + -43 = 0
0 + -8y = -13 + -43
-8y = -13 + -43

Combine like terms: -13 + -43 = -56
-8y = -56

Divide each side by '-8'.
y = 7

Simplifying
y = 7

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