(4-2y)(7+3y)=

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Solution for (4-2y)(7+3y)= equation: 


Simplifying
(4 + -2y)(7 + 3y) = 0

Multiply (4 + -2y) * (7 + 3y)
(4(7 + 3y) + -2y * (7 + 3y)) = 0
((7 * 4 + 3y * 4) + -2y * (7 + 3y)) = 0
((28 + 12y) + -2y * (7 + 3y)) = 0
(28 + 12y + (7 * -2y + 3y * -2y)) = 0
(28 + 12y + (-14y + -6y2)) = 0

Combine like terms: 12y + -14y = -2y
(28 + -2y + -6y2) = 0

Solving
28 + -2y + -6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + -1y + -3y2) = 0

Factor a trinomial.
2((2 + -1y)(7 + 3y)) = 0

Ignore the factor 2.

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2

Subproblem 2
Set the factor '(7 + 3y)' equal to zero and attempt to solve:

Simplifying
7 + 3y = 0

Solving
7 + 3y = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3y = 0 + -7
3y = 0 + -7

Combine like terms: 0 + -7 = -7
3y = -7

Divide each side by '3'.
y = -2.333333333

Simplifying
y = -2.333333333
Solution
y = {2, -2.333333333}

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