5Y-1=-2(Y-2)

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Solution for 5Y-1=-2(Y-2) equation:


Simplifying
5Y + -1 = -2(Y + -2)

Reorder the terms:
-1 + 5Y = -2(Y + -2)

Reorder the terms:
-1 + 5Y = -2(-2 + Y)
-1 + 5Y = (-2 * -2 + Y * -2)
-1 + 5Y = (4 + -2Y)

Solving
-1 + 5Y = 4 + -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.
-1 + 5Y + 2Y = 4 + -2Y + 2Y

Combine like terms: 5Y + 2Y = 7Y
-1 + 7Y = 4 + -2Y + 2Y

Combine like terms: -2Y + 2Y = 0
-1 + 7Y = 4 + 0
-1 + 7Y = 4

Add '1' to each side of the equation.
-1 + 1 + 7Y = 4 + 1

Combine like terms: -1 + 1 = 0
0 + 7Y = 4 + 1
7Y = 4 + 1

Combine like terms: 4 + 1 = 5
7Y = 5

Divide each side by '7'.
Y = 0.7142857143

Simplifying
Y = 0.7142857143

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