4(y^2-3y)-8=2y(2y+4)+32

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Solution for 4(y^2-3y)-8=2y(2y+4)+32 equation:


Simplifying
4(y2 + -3y) + -8 = 2y(2y + 4) + 32

Reorder the terms:
4(-3y + y2) + -8 = 2y(2y + 4) + 32
(-3y * 4 + y2 * 4) + -8 = 2y(2y + 4) + 32
(-12y + 4y2) + -8 = 2y(2y + 4) + 32

Reorder the terms:
-8 + -12y + 4y2 = 2y(2y + 4) + 32

Reorder the terms:
-8 + -12y + 4y2 = 2y(4 + 2y) + 32
-8 + -12y + 4y2 = (4 * 2y + 2y * 2y) + 32
-8 + -12y + 4y2 = (8y + 4y2) + 32

Reorder the terms:
-8 + -12y + 4y2 = 32 + 8y + 4y2

Add '-4y2' to each side of the equation.
-8 + -12y + 4y2 + -4y2 = 32 + 8y + 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
-8 + -12y + 0 = 32 + 8y + 4y2 + -4y2
-8 + -12y = 32 + 8y + 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
-8 + -12y = 32 + 8y + 0
-8 + -12y = 32 + 8y

Solving
-8 + -12y = 32 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-8 + -12y + -8y = 32 + 8y + -8y

Combine like terms: -12y + -8y = -20y
-8 + -20y = 32 + 8y + -8y

Combine like terms: 8y + -8y = 0
-8 + -20y = 32 + 0
-8 + -20y = 32

Add '8' to each side of the equation.
-8 + 8 + -20y = 32 + 8

Combine like terms: -8 + 8 = 0
0 + -20y = 32 + 8
-20y = 32 + 8

Combine like terms: 32 + 8 = 40
-20y = 40

Divide each side by '-20'.
y = -2

Simplifying
y = -2

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