8(3y+7)-6y(4y)=56

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Solution for 8(3y+7)-6y(4y)=56 equation: 


Simplifying
8(3y + 7) + -6y(4y) = 56

Reorder the terms:
8(7 + 3y) + -6y(4y) = 56
(7 * 8 + 3y * 8) + -6y(4y) = 56
(56 + 24y) + -6y(4y) = 56

Remove parenthesis around (4y)
56 + 24y + -6y * 4y = 56

Reorder the terms for easier multiplication:
56 + 24y + -6 * 4y * y = 56

Multiply -6 * 4
56 + 24y + -24y * y = 56

Multiply y * y
56 + 24y + -24y2 = 56

Add '-56' to each side of the equation.
56 + 24y + -56 + -24y2 = 56 + -56

Reorder the terms:
56 + -56 + 24y + -24y2 = 56 + -56

Combine like terms: 56 + -56 = 0
0 + 24y + -24y2 = 56 + -56
24y + -24y2 = 56 + -56

Combine like terms: 56 + -56 = 0
24y + -24y2 = 0

Solving
24y + -24y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '24y'.
24y(1 + -1y) = 0

Ignore the factor 24.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1y = 0 + -1
-1y = 0 + -1

Combine like terms: 0 + -1 = -1
-1y = -1

Divide each side by '-1'.
y = 1

Simplifying
y = 1
Solution
y = {0, 1}

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