42+5y-16=17y-9-5y

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Solution for 42+5y-16=17y-9-5y equation:


Simplifying
42 + 5y + -16 = 17y + -9 + -5y

Reorder the terms:
42 + -16 + 5y = 17y + -9 + -5y

Combine like terms: 42 + -16 = 26
26 + 5y = 17y + -9 + -5y

Reorder the terms:
26 + 5y = -9 + 17y + -5y

Combine like terms: 17y + -5y = 12y
26 + 5y = -9 + 12y

Solving
26 + 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.
26 + 5y + -12y = -9 + 12y + -12y

Combine like terms: 5y + -12y = -7y
26 + -7y = -9 + 12y + -12y

Combine like terms: 12y + -12y = 0
26 + -7y = -9 + 0
26 + -7y = -9

Add '-26' to each side of the equation.
26 + -26 + -7y = -9 + -26

Combine like terms: 26 + -26 = 0
0 + -7y = -9 + -26
-7y = -9 + -26

Combine like terms: -9 + -26 = -35
-7y = -35

Divide each side by '-7'.
y = 5

Simplifying
y = 5

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