-2(y-2)=-7y-41

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


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

Reorder the terms:
-2(-2 + y) = -7y + -41
(-2 * -2 + y * -2) = -7y + -41
(4 + -2y) = -7y + -41

Reorder the terms:
4 + -2y = -41 + -7y

Solving
4 + -2y = -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.
4 + -2y + 7y = -41 + -7y + 7y

Combine like terms: -2y + 7y = 5y
4 + 5y = -41 + -7y + 7y

Combine like terms: -7y + 7y = 0
4 + 5y = -41 + 0
4 + 5y = -41

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

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

Combine like terms: -41 + -4 = -45
5y = -45

Divide each side by '5'.
y = -9

Simplifying
y = -9

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