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

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


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

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

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

Combine like terms: 3y + 3y = 6y
9 + 6y = 3(y + 1)

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

Solving
9 + 6y = 3 + 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.
9 + 6y + -3y = 3 + 3y + -3y

Combine like terms: 6y + -3y = 3y
9 + 3y = 3 + 3y + -3y

Combine like terms: 3y + -3y = 0
9 + 3y = 3 + 0
9 + 3y = 3

Add '-9' to each side of the equation.
9 + -9 + 3y = 3 + -9

Combine like terms: 9 + -9 = 0
0 + 3y = 3 + -9
3y = 3 + -9

Combine like terms: 3 + -9 = -6
3y = -6

Divide each side by '3'.
y = -2

Simplifying
y = -2

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