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

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


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

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

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

Combine like terms: 9 + -2 = 7
3 + 3y = 7 + -1y

Solving
3 + 3y = 7 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
3 + 3y + y = 7 + -1y + y

Combine like terms: 3y + y = 4y
3 + 4y = 7 + -1y + y

Combine like terms: -1y + y = 0
3 + 4y = 7 + 0
3 + 4y = 7

Add '-3' to each side of the equation.
3 + -3 + 4y = 7 + -3

Combine like terms: 3 + -3 = 0
0 + 4y = 7 + -3
4y = 7 + -3

Combine like terms: 7 + -3 = 4
4y = 4

Divide each side by '4'.
y = 1

Simplifying
y = 1

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