4(y-7)-2y(1-3y)=6y^2

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Solution for 4(y-7)-2y(1-3y)=6y^2 equation: 


Simplifying
4(y + -7) + -2y(1 + -3y) = 6y2

Reorder the terms:
4(-7 + y) + -2y(1 + -3y) = 6y2
(-7 * 4 + y * 4) + -2y(1 + -3y) = 6y2
(-28 + 4y) + -2y(1 + -3y) = 6y2
-28 + 4y + (1 * -2y + -3y * -2y) = 6y2
-28 + 4y + (-2y + 6y2) = 6y2

Combine like terms: 4y + -2y = 2y
-28 + 2y + 6y2 = 6y2

Add '-6y2' to each side of the equation.
-28 + 2y + 6y2 + -6y2 = 6y2 + -6y2

Combine like terms: 6y2 + -6y2 = 0
-28 + 2y + 0 = 6y2 + -6y2
-28 + 2y = 6y2 + -6y2

Combine like terms: 6y2 + -6y2 = 0
-28 + 2y = 0

Solving
-28 + 2y = 0

Solving for variable 'y'.

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

Add '28' to each side of the equation.
-28 + 28 + 2y = 0 + 28

Combine like terms: -28 + 28 = 0
0 + 2y = 0 + 28
2y = 0 + 28

Combine like terms: 0 + 28 = 28
2y = 28

Divide each side by '2'.
y = 14

Simplifying
y = 14

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