3y-1=3(3-y)+5

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Solution for 3y-1=3(3-y)+5 equation:


Simplifying
3y + -1 = 3(3 + -1y) + 5

Reorder the terms:
-1 + 3y = 3(3 + -1y) + 5
-1 + 3y = (3 * 3 + -1y * 3) + 5
-1 + 3y = (9 + -3y) + 5

Reorder the terms:
-1 + 3y = 9 + 5 + -3y

Combine like terms: 9 + 5 = 14
-1 + 3y = 14 + -3y

Solving
-1 + 3y = 14 + -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.
-1 + 3y + 3y = 14 + -3y + 3y

Combine like terms: 3y + 3y = 6y
-1 + 6y = 14 + -3y + 3y

Combine like terms: -3y + 3y = 0
-1 + 6y = 14 + 0
-1 + 6y = 14

Add '1' to each side of the equation.
-1 + 1 + 6y = 14 + 1

Combine like terms: -1 + 1 = 0
0 + 6y = 14 + 1
6y = 14 + 1

Combine like terms: 14 + 1 = 15
6y = 15

Divide each side by '6'.
y = 2.5

Simplifying
y = 2.5

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