3(y-3)-y=y+1

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


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

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

Combine like terms: 3y + -1y = 2y
-9 + 2y = y + 1

Reorder the terms:
-9 + 2y = 1 + y

Solving
-9 + 2y = 1 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-9 + 2y + -1y = 1 + y + -1y

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

Combine like terms: y + -1y = 0
-9 + 1y = 1 + 0
-9 + 1y = 1

Add '9' to each side of the equation.
-9 + 9 + 1y = 1 + 9

Combine like terms: -9 + 9 = 0
0 + 1y = 1 + 9
1y = 1 + 9

Combine like terms: 1 + 9 = 10
1y = 10

Divide each side by '1'.
y = 10

Simplifying
y = 10

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