Y-2=5(Y+2)

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


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

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

Reorder the terms:
-2 + Y = 5(2 + Y)
-2 + Y = (2 * 5 + Y * 5)
-2 + Y = (10 + 5Y)

Solving
-2 + Y = 10 + 5Y

Solving for variable 'Y'.

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

Add '-5Y' to each side of the equation.
-2 + Y + -5Y = 10 + 5Y + -5Y

Combine like terms: Y + -5Y = -4Y
-2 + -4Y = 10 + 5Y + -5Y

Combine like terms: 5Y + -5Y = 0
-2 + -4Y = 10 + 0
-2 + -4Y = 10

Add '2' to each side of the equation.
-2 + 2 + -4Y = 10 + 2

Combine like terms: -2 + 2 = 0
0 + -4Y = 10 + 2
-4Y = 10 + 2

Combine like terms: 10 + 2 = 12
-4Y = 12

Divide each side by '-4'.
Y = -3

Simplifying
Y = -3

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