2(Y-1)-31=-3(2Y+3)

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Solution for 2(Y-1)-31=-3(2Y+3) equation: 


Simplifying
2(Y + -1) + -31 = -3(2Y + 3)

Reorder the terms:
2(-1 + Y) + -31 = -3(2Y + 3)
(-1 * 2 + Y * 2) + -31 = -3(2Y + 3)
(-2 + 2Y) + -31 = -3(2Y + 3)

Reorder the terms:
-2 + -31 + 2Y = -3(2Y + 3)

Combine like terms: -2 + -31 = -33
-33 + 2Y = -3(2Y + 3)

Reorder the terms:
-33 + 2Y = -3(3 + 2Y)
-33 + 2Y = (3 * -3 + 2Y * -3)
-33 + 2Y = (-9 + -6Y)

Solving
-33 + 2Y = -9 + -6Y

Solving for variable 'Y'.

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

Add '6Y' to each side of the equation.
-33 + 2Y + 6Y = -9 + -6Y + 6Y

Combine like terms: 2Y + 6Y = 8Y
-33 + 8Y = -9 + -6Y + 6Y

Combine like terms: -6Y + 6Y = 0
-33 + 8Y = -9 + 0
-33 + 8Y = -9

Add '33' to each side of the equation.
-33 + 33 + 8Y = -9 + 33

Combine like terms: -33 + 33 = 0
0 + 8Y = -9 + 33
8Y = -9 + 33

Combine like terms: -9 + 33 = 24
8Y = 24

Divide each side by '8'.
Y = 3

Simplifying
Y = 3

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