Y(2)+3y(2-1)=e(2)

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


Simplifying
Y(2) + 3y(2 + -1) = e(2)

Reorder the terms for easier multiplication:
2Y + 3y(2 + -1) = e(2)

Combine like terms: 2 + -1 = 1
2Y + 3y(1) = e(2)

Reorder the terms for easier multiplication:
2Y + 3 * 1y = e(2)

Multiply 3 * 1
2Y + 3y = e(2)

Reorder the terms for easier multiplication:
2Y + 3y = 2e

Solving
2Y + 3y = 2e

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.
2Y + 3y + -3y = 2e + -3y

Combine like terms: 3y + -3y = 0
2Y + 0 = 2e + -3y
2Y = 2e + -3y

Divide each side by '2'.
Y = e + -1.5y

Simplifying
Y = e + -1.5y

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