4y-5=7y-41

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Solution for 4y-5=7y-41 equation:


Simplifying
4y + -5 = 7y + -41

Reorder the terms:
-5 + 4y = 7y + -41

Reorder the terms:
-5 + 4y = -41 + 7y

Solving
-5 + 4y = -41 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-5 + 4y + -7y = -41 + 7y + -7y

Combine like terms: 4y + -7y = -3y
-5 + -3y = -41 + 7y + -7y

Combine like terms: 7y + -7y = 0
-5 + -3y = -41 + 0
-5 + -3y = -41

Add '5' to each side of the equation.
-5 + 5 + -3y = -41 + 5

Combine like terms: -5 + 5 = 0
0 + -3y = -41 + 5
-3y = -41 + 5

Combine like terms: -41 + 5 = -36
-3y = -36

Divide each side by '-3'.
y = 12

Simplifying
y = 12

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