y+2=-3(y-2)+24

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Solution for y+2=-3(y-2)+24 equation: 


Simplifying
y + 2 = -3(y + -2) + 24

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

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

Reorder the terms:
2 + y = 6 + 24 + -3y

Combine like terms: 6 + 24 = 30
2 + y = 30 + -3y

Solving
2 + y = 30 + -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.
2 + y + 3y = 30 + -3y + 3y

Combine like terms: y + 3y = 4y
2 + 4y = 30 + -3y + 3y

Combine like terms: -3y + 3y = 0
2 + 4y = 30 + 0
2 + 4y = 30

Add '-2' to each side of the equation.
2 + -2 + 4y = 30 + -2

Combine like terms: 2 + -2 = 0
0 + 4y = 30 + -2
4y = 30 + -2

Combine like terms: 30 + -2 = 28
4y = 28

Divide each side by '4'.
y = 7

Simplifying
y = 7

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