9y-9(y-4)=9-7(y-7)

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Solution for 9y-9(y-4)=9-7(y-7) equation: 


Simplifying
9y + -9(y + -4) = 9 + -7(y + -7)

Reorder the terms:
9y + -9(-4 + y) = 9 + -7(y + -7)
9y + (-4 * -9 + y * -9) = 9 + -7(y + -7)
9y + (36 + -9y) = 9 + -7(y + -7)

Reorder the terms:
36 + 9y + -9y = 9 + -7(y + -7)

Combine like terms: 9y + -9y = 0
36 + 0 = 9 + -7(y + -7)
36 = 9 + -7(y + -7)

Reorder the terms:
36 = 9 + -7(-7 + y)
36 = 9 + (-7 * -7 + y * -7)
36 = 9 + (49 + -7y)

Combine like terms: 9 + 49 = 58
36 = 58 + -7y

Solving
36 = 58 + -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.
36 + 7y = 58 + -7y + 7y

Combine like terms: -7y + 7y = 0
36 + 7y = 58 + 0
36 + 7y = 58

Add '-36' to each side of the equation.
36 + -36 + 7y = 58 + -36

Combine like terms: 36 + -36 = 0
0 + 7y = 58 + -36
7y = 58 + -36

Combine like terms: 58 + -36 = 22
7y = 22

Divide each side by '7'.
y = 3.142857143

Simplifying
y = 3.142857143

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