8y+42=5y-9

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


Simplifying
8y + 42 = 5y + -9

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

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

Solving
42 + 8y = -9 + 5y

Solving for variable 'y'.

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

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

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

Combine like terms: 5y + -5y = 0
42 + 3y = -9 + 0
42 + 3y = -9

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

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

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

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

Simplifying
y = -17

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