Y-(3y+11)=5(y-2)8y

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Solution for Y-(3y+11)=5(y-2)8y equation:


Simplifying
Y + -1(3y + 11) = 5(y + -2) * 8y

Reorder the terms:
Y + -1(11 + 3y) = 5(y + -2) * 8y
Y + (11 * -1 + 3y * -1) = 5(y + -2) * 8y
Y + (-11 + -3y) = 5(y + -2) * 8y

Reorder the terms:
-11 + Y + -3y = 5(y + -2) * 8y

Reorder the terms:
-11 + Y + -3y = 5(-2 + y) * 8y

Reorder the terms for easier multiplication:
-11 + Y + -3y = 5 * 8y(-2 + y)

Multiply 5 * 8
-11 + Y + -3y = 40y(-2 + y)
-11 + Y + -3y = (-2 * 40y + y * 40y)
-11 + Y + -3y = (-80y + 40y2)

Solving
-11 + Y + -3y = -80y + 40y2

Solving for variable 'Y'.

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

Add '11' to each side of the equation.
-11 + Y + 11 + -3y = -80y + 11 + 40y2

Reorder the terms:
-11 + 11 + Y + -3y = -80y + 11 + 40y2

Combine like terms: -11 + 11 = 0
0 + Y + -3y = -80y + 11 + 40y2
Y + -3y = -80y + 11 + 40y2

Reorder the terms:
Y + -3y = 11 + -80y + 40y2

Add '3y' to each side of the equation.
Y + -3y + 3y = 11 + -80y + 3y + 40y2

Combine like terms: -3y + 3y = 0
Y + 0 = 11 + -80y + 3y + 40y2
Y = 11 + -80y + 3y + 40y2

Combine like terms: -80y + 3y = -77y
Y = 11 + -77y + 40y2

Simplifying
Y = 11 + -77y + 40y2

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