3y-9=-5y-41

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Solution for 3y-9=-5y-41 equation:


Simplifying
3y + -9 = -5y + -41

Reorder the terms:
-9 + 3y = -5y + -41

Reorder the terms:
-9 + 3y = -41 + -5y

Solving
-9 + 3y = -41 + -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.
-9 + 3y + 5y = -41 + -5y + 5y

Combine like terms: 3y + 5y = 8y
-9 + 8y = -41 + -5y + 5y

Combine like terms: -5y + 5y = 0
-9 + 8y = -41 + 0
-9 + 8y = -41

Add '9' to each side of the equation.
-9 + 9 + 8y = -41 + 9

Combine like terms: -9 + 9 = 0
0 + 8y = -41 + 9
8y = -41 + 9

Combine like terms: -41 + 9 = -32
8y = -32

Divide each side by '8'.
y = -4

Simplifying
y = -4

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