3(y+3)-4(y-1)=3(y+1)+2

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Solution for 3(y+3)-4(y-1)=3(y+1)+2 equation:


Simplifying
3(y + 3) + -4(y + -1) = 3(y + 1) + 2

Reorder the terms:
3(3 + y) + -4(y + -1) = 3(y + 1) + 2
(3 * 3 + y * 3) + -4(y + -1) = 3(y + 1) + 2
(9 + 3y) + -4(y + -1) = 3(y + 1) + 2

Reorder the terms:
9 + 3y + -4(-1 + y) = 3(y + 1) + 2
9 + 3y + (-1 * -4 + y * -4) = 3(y + 1) + 2
9 + 3y + (4 + -4y) = 3(y + 1) + 2

Reorder the terms:
9 + 4 + 3y + -4y = 3(y + 1) + 2

Combine like terms: 9 + 4 = 13
13 + 3y + -4y = 3(y + 1) + 2

Combine like terms: 3y + -4y = -1y
13 + -1y = 3(y + 1) + 2

Reorder the terms:
13 + -1y = 3(1 + y) + 2
13 + -1y = (1 * 3 + y * 3) + 2
13 + -1y = (3 + 3y) + 2

Reorder the terms:
13 + -1y = 3 + 2 + 3y

Combine like terms: 3 + 2 = 5
13 + -1y = 5 + 3y

Solving
13 + -1y = 5 + 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.
13 + -1y + -3y = 5 + 3y + -3y

Combine like terms: -1y + -3y = -4y
13 + -4y = 5 + 3y + -3y

Combine like terms: 3y + -3y = 0
13 + -4y = 5 + 0
13 + -4y = 5

Add '-13' to each side of the equation.
13 + -13 + -4y = 5 + -13

Combine like terms: 13 + -13 = 0
0 + -4y = 5 + -13
-4y = 5 + -13

Combine like terms: 5 + -13 = -8
-4y = -8

Divide each side by '-4'.
y = 2

Simplifying
y = 2

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