9y-21=7(y-1)

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Solution for 9y-21=7(y-1) equation: 


Simplifying
9y + -21 = 7(y + -1)

Reorder the terms:
-21 + 9y = 7(y + -1)

Reorder the terms:
-21 + 9y = 7(-1 + y)
-21 + 9y = (-1 * 7 + y * 7)
-21 + 9y = (-7 + 7y)

Solving
-21 + 9y = -7 + 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.
-21 + 9y + -7y = -7 + 7y + -7y

Combine like terms: 9y + -7y = 2y
-21 + 2y = -7 + 7y + -7y

Combine like terms: 7y + -7y = 0
-21 + 2y = -7 + 0
-21 + 2y = -7

Add '21' to each side of the equation.
-21 + 21 + 2y = -7 + 21

Combine like terms: -21 + 21 = 0
0 + 2y = -7 + 21
2y = -7 + 21

Combine like terms: -7 + 21 = 14
2y = 14

Divide each side by '2'.
y = 7

Simplifying
y = 7

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