7y-3=3(y-9)

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


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

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

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

Solving
-3 + 7y = -27 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-3 + 7y + -3y = -27 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-3 + 4y = -27 + 3y + -3y

Combine like terms: 3y + -3y = 0
-3 + 4y = -27 + 0
-3 + 4y = -27

Add '3' to each side of the equation.
-3 + 3 + 4y = -27 + 3

Combine like terms: -3 + 3 = 0
0 + 4y = -27 + 3
4y = -27 + 3

Combine like terms: -27 + 3 = -24
4y = -24

Divide each side by '4'.
y = -6

Simplifying
y = -6

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