y(y^3+4)-y(y^3+3)+10=-3y(y^3-5)+3y(y^3+2)

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Solution for y(y^3+4)-y(y^3+3)+10=-3y(y^3-5)+3y(y^3+2) equation: 


Simplifying
y(y3 + 4) + -1y(y3 + 3) + 10 = -3y(y3 + -5) + 3y(y3 + 2)

Reorder the terms:
y(4 + y3) + -1y(y3 + 3) + 10 = -3y(y3 + -5) + 3y(y3 + 2)
(4 * y + y3 * y) + -1y(y3 + 3) + 10 = -3y(y3 + -5) + 3y(y3 + 2)
(4y + y4) + -1y(y3 + 3) + 10 = -3y(y3 + -5) + 3y(y3 + 2)

Reorder the terms:
4y + y4 + -1y(3 + y3) + 10 = -3y(y3 + -5) + 3y(y3 + 2)
4y + y4 + (3 * -1y + y3 * -1y) + 10 = -3y(y3 + -5) + 3y(y3 + 2)
4y + y4 + (-3y + -1y4) + 10 = -3y(y3 + -5) + 3y(y3 + 2)

Reorder the terms:
10 + 4y + -3y + y4 + -1y4 = -3y(y3 + -5) + 3y(y3 + 2)

Combine like terms: 4y + -3y = 1y
10 + 1y + y4 + -1y4 = -3y(y3 + -5) + 3y(y3 + 2)

Combine like terms: y4 + -1y4 = 0
10 + 1y + 0 = -3y(y3 + -5) + 3y(y3 + 2)
10 + 1y = -3y(y3 + -5) + 3y(y3 + 2)

Reorder the terms:
10 + 1y = -3y(-5 + y3) + 3y(y3 + 2)
10 + 1y = (-5 * -3y + y3 * -3y) + 3y(y3 + 2)
10 + 1y = (15y + -3y4) + 3y(y3 + 2)

Reorder the terms:
10 + 1y = 15y + -3y4 + 3y(2 + y3)
10 + 1y = 15y + -3y4 + (2 * 3y + y3 * 3y)
10 + 1y = 15y + -3y4 + (6y + 3y4)

Reorder the terms:
10 + 1y = 15y + 6y + -3y4 + 3y4

Combine like terms: 15y + 6y = 21y
10 + 1y = 21y + -3y4 + 3y4

Combine like terms: -3y4 + 3y4 = 0
10 + 1y = 21y + 0
10 + 1y = 21y

Solving
10 + 1y = 21y

Solving for variable 'y'.

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

Add '-21y' to each side of the equation.
10 + 1y + -21y = 21y + -21y

Combine like terms: 1y + -21y = -20y
10 + -20y = 21y + -21y

Combine like terms: 21y + -21y = 0
10 + -20y = 0

Add '-10' to each side of the equation.
10 + -10 + -20y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -20y = 0 + -10
-20y = 0 + -10

Combine like terms: 0 + -10 = -10
-20y = -10

Divide each side by '-20'.
y = 0.5

Simplifying
y = 0.5

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