42+5y-2=17y-9-5y

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Solution for 42+5y-2=17y-9-5y equation: 


Simplifying
42 + 5y + -2 = 17y + -9 + -5y

Reorder the terms:
42 + -2 + 5y = 17y + -9 + -5y

Combine like terms: 42 + -2 = 40
40 + 5y = 17y + -9 + -5y

Reorder the terms:
40 + 5y = -9 + 17y + -5y

Combine like terms: 17y + -5y = 12y
40 + 5y = -9 + 12y

Solving
40 + 5y = -9 + 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.
40 + 5y + -12y = -9 + 12y + -12y

Combine like terms: 5y + -12y = -7y
40 + -7y = -9 + 12y + -12y

Combine like terms: 12y + -12y = 0
40 + -7y = -9 + 0
40 + -7y = -9

Add '-40' to each side of the equation.
40 + -40 + -7y = -9 + -40

Combine like terms: 40 + -40 = 0
0 + -7y = -9 + -40
-7y = -9 + -40

Combine like terms: -9 + -40 = -49
-7y = -49

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

Simplifying
y = 7

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