3(2y-9)+y=1

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Solution for 3(2y-9)+y=1 equation:


Simplifying
3(2y + -9) + y = 1

Reorder the terms:
3(-9 + 2y) + y = 1
(-9 * 3 + 2y * 3) + y = 1
(-27 + 6y) + y = 1

Combine like terms: 6y + y = 7y
-27 + 7y = 1

Solving
-27 + 7y = 1

Solving for variable 'y'.

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

Add '27' to each side of the equation.
-27 + 27 + 7y = 1 + 27

Combine like terms: -27 + 27 = 0
0 + 7y = 1 + 27
7y = 1 + 27

Combine like terms: 1 + 27 = 28
7y = 28

Divide each side by '7'.
y = 4

Simplifying
y = 4

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