9y-4=7(y-2)

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Solution for 9y-4=7(y-2) equation:


Simplifying
9y + -4 = 7(y + -2)

Reorder the terms:
-4 + 9y = 7(y + -2)

Reorder the terms:
-4 + 9y = 7(-2 + y)
-4 + 9y = (-2 * 7 + y * 7)
-4 + 9y = (-14 + 7y)

Solving
-4 + 9y = -14 + 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.
-4 + 9y + -7y = -14 + 7y + -7y

Combine like terms: 9y + -7y = 2y
-4 + 2y = -14 + 7y + -7y

Combine like terms: 7y + -7y = 0
-4 + 2y = -14 + 0
-4 + 2y = -14

Add '4' to each side of the equation.
-4 + 4 + 2y = -14 + 4

Combine like terms: -4 + 4 = 0
0 + 2y = -14 + 4
2y = -14 + 4

Combine like terms: -14 + 4 = -10
2y = -10

Divide each side by '2'.
y = -5

Simplifying
y = -5

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