10y-5=6y-41

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Solution for 10y-5=6y-41 equation:


Simplifying
10y + -5 = 6y + -41

Reorder the terms:
-5 + 10y = 6y + -41

Reorder the terms:
-5 + 10y = -41 + 6y

Solving
-5 + 10y = -41 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-5 + 10y + -6y = -41 + 6y + -6y

Combine like terms: 10y + -6y = 4y
-5 + 4y = -41 + 6y + -6y

Combine like terms: 6y + -6y = 0
-5 + 4y = -41 + 0
-5 + 4y = -41

Add '5' to each side of the equation.
-5 + 5 + 4y = -41 + 5

Combine like terms: -5 + 5 = 0
0 + 4y = -41 + 5
4y = -41 + 5

Combine like terms: -41 + 5 = -36
4y = -36

Divide each side by '4'.
y = -9

Simplifying
y = -9

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