78+5y-32=15y-10-2y

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Solution for 78+5y-32=15y-10-2y equation:


Simplifying
78 + 5y + -32 = 15y + -10 + -2y

Reorder the terms:
78 + -32 + 5y = 15y + -10 + -2y

Combine like terms: 78 + -32 = 46
46 + 5y = 15y + -10 + -2y

Reorder the terms:
46 + 5y = -10 + 15y + -2y

Combine like terms: 15y + -2y = 13y
46 + 5y = -10 + 13y

Solving
46 + 5y = -10 + 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.
46 + 5y + -13y = -10 + 13y + -13y

Combine like terms: 5y + -13y = -8y
46 + -8y = -10 + 13y + -13y

Combine like terms: 13y + -13y = 0
46 + -8y = -10 + 0
46 + -8y = -10

Add '-46' to each side of the equation.
46 + -46 + -8y = -10 + -46

Combine like terms: 46 + -46 = 0
0 + -8y = -10 + -46
-8y = -10 + -46

Combine like terms: -10 + -46 = -56
-8y = -56

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

Simplifying
y = 7

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