7y-23=9(y-3)

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Solution for 7y-23=9(y-3) equation:


Simplifying
7y + -23 = 9(y + -3)

Reorder the terms:
-23 + 7y = 9(y + -3)

Reorder the terms:
-23 + 7y = 9(-3 + y)
-23 + 7y = (-3 * 9 + y * 9)
-23 + 7y = (-27 + 9y)

Solving
-23 + 7y = -27 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-23 + 7y + -9y = -27 + 9y + -9y

Combine like terms: 7y + -9y = -2y
-23 + -2y = -27 + 9y + -9y

Combine like terms: 9y + -9y = 0
-23 + -2y = -27 + 0
-23 + -2y = -27

Add '23' to each side of the equation.
-23 + 23 + -2y = -27 + 23

Combine like terms: -23 + 23 = 0
0 + -2y = -27 + 23
-2y = -27 + 23

Combine like terms: -27 + 23 = -4
-2y = -4

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

Simplifying
y = 2

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