9y-41=7(y-3)

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Solution for 9y-41=7(y-3) equation:


Simplifying
9y + -41 = 7(y + -3)

Reorder the terms:
-41 + 9y = 7(y + -3)

Reorder the terms:
-41 + 9y = 7(-3 + y)
-41 + 9y = (-3 * 7 + y * 7)
-41 + 9y = (-21 + 7y)

Solving
-41 + 9y = -21 + 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.
-41 + 9y + -7y = -21 + 7y + -7y

Combine like terms: 9y + -7y = 2y
-41 + 2y = -21 + 7y + -7y

Combine like terms: 7y + -7y = 0
-41 + 2y = -21 + 0
-41 + 2y = -21

Add '41' to each side of the equation.
-41 + 41 + 2y = -21 + 41

Combine like terms: -41 + 41 = 0
0 + 2y = -21 + 41
2y = -21 + 41

Combine like terms: -21 + 41 = 20
2y = 20

Divide each side by '2'.
y = 10

Simplifying
y = 10

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