-9y+22=-7(y-6)

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Solution for -9y+22=-7(y-6) equation:


Simplifying
-9y + 22 = -7(y + -6)

Reorder the terms:
22 + -9y = -7(y + -6)

Reorder the terms:
22 + -9y = -7(-6 + y)
22 + -9y = (-6 * -7 + y * -7)
22 + -9y = (42 + -7y)

Solving
22 + -9y = 42 + -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.
22 + -9y + 7y = 42 + -7y + 7y

Combine like terms: -9y + 7y = -2y
22 + -2y = 42 + -7y + 7y

Combine like terms: -7y + 7y = 0
22 + -2y = 42 + 0
22 + -2y = 42

Add '-22' to each side of the equation.
22 + -22 + -2y = 42 + -22

Combine like terms: 22 + -22 = 0
0 + -2y = 42 + -22
-2y = 42 + -22

Combine like terms: 42 + -22 = 20
-2y = 20

Divide each side by '-2'.
y = -10

Simplifying
y = -10

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