9y-41=-2(y-7)

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Solution for 9y-41=-2(y-7) equation:


Simplifying
9y + -41 = -2(y + -7)

Reorder the terms:
-41 + 9y = -2(y + -7)

Reorder the terms:
-41 + 9y = -2(-7 + y)
-41 + 9y = (-7 * -2 + y * -2)
-41 + 9y = (14 + -2y)

Solving
-41 + 9y = 14 + -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.
-41 + 9y + 2y = 14 + -2y + 2y

Combine like terms: 9y + 2y = 11y
-41 + 11y = 14 + -2y + 2y

Combine like terms: -2y + 2y = 0
-41 + 11y = 14 + 0
-41 + 11y = 14

Add '41' to each side of the equation.
-41 + 41 + 11y = 14 + 41

Combine like terms: -41 + 41 = 0
0 + 11y = 14 + 41
11y = 14 + 41

Combine like terms: 14 + 41 = 55
11y = 55

Divide each side by '11'.
y = 5

Simplifying
y = 5

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