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
2 + Y = (6 + -3Y) + 24

Remove parenthesis around (6 + -3Y)
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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