9y-1=7(y-3)

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Solution for 9y-1=7(y-3) equation:


Simplifying
9y + -1 = 7(y + -3)

Reorder the terms:
-1 + 9y = 7(y + -3)

Reorder the terms:
-1 + 9y = 7(-3 + y)
-1 + 9y = (-3 * 7 + y * 7)
-1 + 9y = (-21 + 7y)

Solving
-1 + 9y = -21 + 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.
-1 + 9y + -7y = -21 + 7y + -7y

Combine like terms: 9y + -7y = 2y
-1 + 2y = -21 + 7y + -7y

Combine like terms: 7y + -7y = 0
-1 + 2y = -21 + 0
-1 + 2y = -21

Add '1' to each side of the equation.
-1 + 1 + 2y = -21 + 1

Combine like terms: -1 + 1 = 0
0 + 2y = -21 + 1
2y = -21 + 1

Combine like terms: -21 + 1 = -20
2y = -20

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

Simplifying
y = -10

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