7(y-3)=2y-41

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Solution for 7(y-3)=2y-41 equation: 


Simplifying
7(y + -3) = 2y + -41

Reorder the terms:
7(-3 + y) = 2y + -41
(-3 * 7 + y * 7) = 2y + -41
(-21 + 7y) = 2y + -41

Reorder the terms:
-21 + 7y = -41 + 2y

Solving
-21 + 7y = -41 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-21 + 7y + -2y = -41 + 2y + -2y

Combine like terms: 7y + -2y = 5y
-21 + 5y = -41 + 2y + -2y

Combine like terms: 2y + -2y = 0
-21 + 5y = -41 + 0
-21 + 5y = -41

Add '21' to each side of the equation.
-21 + 21 + 5y = -41 + 21

Combine like terms: -21 + 21 = 0
0 + 5y = -41 + 21
5y = -41 + 21

Combine like terms: -41 + 21 = -20
5y = -20

Divide each side by '5'.
y = -4

Simplifying
y = -4

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