3(y-1)-3y=3(y-6)

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Solution for 3(y-1)-3y=3(y-6) equation:


Simplifying
3(y + -1) + -3y = 3(y + -6)

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

Combine like terms: 3y + -3y = 0
-3 + 0 = 3(y + -6)
-3 = 3(y + -6)

Reorder the terms:
-3 = 3(-6 + y)
-3 = (-6 * 3 + y * 3)
-3 = (-18 + 3y)

Solving
-3 = -18 + 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 + -3y = -18 + 3y + -3y

Combine like terms: 3y + -3y = 0
-3 + -3y = -18 + 0
-3 + -3y = -18

Add '3' to each side of the equation.
-3 + 3 + -3y = -18 + 3

Combine like terms: -3 + 3 = 0
0 + -3y = -18 + 3
-3y = -18 + 3

Combine like terms: -18 + 3 = -15
-3y = -15

Divide each side by '-3'.
y = 5

Simplifying
y = 5

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