5y-9=8y+42

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Solution for 5y-9=8y+42 equation:


Simplifying
5y + -9 = 8y + 42

Reorder the terms:
-9 + 5y = 8y + 42

Reorder the terms:
-9 + 5y = 42 + 8y

Solving
-9 + 5y = 42 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-9 + 5y + -8y = 42 + 8y + -8y

Combine like terms: 5y + -8y = -3y
-9 + -3y = 42 + 8y + -8y

Combine like terms: 8y + -8y = 0
-9 + -3y = 42 + 0
-9 + -3y = 42

Add '9' to each side of the equation.
-9 + 9 + -3y = 42 + 9

Combine like terms: -9 + 9 = 0
0 + -3y = 42 + 9
-3y = 42 + 9

Combine like terms: 42 + 9 = 51
-3y = 51

Divide each side by '-3'.
y = -17

Simplifying
y = -17

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