3(y+8)+y=2(y+3)-4

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Solution for 3(y+8)+y=2(y+3)-4 equation:


Simplifying
3(y + 8) + y = 2(y + 3) + -4

Reorder the terms:
3(8 + y) + y = 2(y + 3) + -4
(8 * 3 + y * 3) + y = 2(y + 3) + -4
(24 + 3y) + y = 2(y + 3) + -4

Combine like terms: 3y + y = 4y
24 + 4y = 2(y + 3) + -4

Reorder the terms:
24 + 4y = 2(3 + y) + -4
24 + 4y = (3 * 2 + y * 2) + -4
24 + 4y = (6 + 2y) + -4

Reorder the terms:
24 + 4y = 6 + -4 + 2y

Combine like terms: 6 + -4 = 2
24 + 4y = 2 + 2y

Solving
24 + 4y = 2 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
24 + 4y + -2y = 2 + 2y + -2y

Combine like terms: 4y + -2y = 2y
24 + 2y = 2 + 2y + -2y

Combine like terms: 2y + -2y = 0
24 + 2y = 2 + 0
24 + 2y = 2

Add '-24' to each side of the equation.
24 + -24 + 2y = 2 + -24

Combine like terms: 24 + -24 = 0
0 + 2y = 2 + -24
2y = 2 + -24

Combine like terms: 2 + -24 = -22
2y = -22

Divide each side by '2'.
y = -11

Simplifying
y = -11

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