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

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


Simplifying
(3y + 4)(6y + -7) = 0

Reorder the terms:
(4 + 3y)(6y + -7) = 0

Reorder the terms:
(4 + 3y)(-7 + 6y) = 0

Multiply (4 + 3y) * (-7 + 6y)
(4(-7 + 6y) + 3y * (-7 + 6y)) = 0
((-7 * 4 + 6y * 4) + 3y * (-7 + 6y)) = 0
((-28 + 24y) + 3y * (-7 + 6y)) = 0
(-28 + 24y + (-7 * 3y + 6y * 3y)) = 0
(-28 + 24y + (-21y + 18y2)) = 0

Combine like terms: 24y + -21y = 3y
(-28 + 3y + 18y2) = 0

Solving
-28 + 3y + 18y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-4 + -3y)(7 + -6y) = 0


Subproblem 1
Set the factor '(-4 + -3y)' equal to zero and attempt to solve:

Simplifying
-4 + -3y = 0

Solving
-4 + -3y = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3y = 0 + 4
-3y = 0 + 4

Combine like terms: 0 + 4 = 4
-3y = 4

Divide each side by '-3'.
y = -1.333333333

Simplifying
y = -1.333333333

Subproblem 2
Set the factor '(7 + -6y)' equal to zero and attempt to solve:

Simplifying
7 + -6y = 0

Solving
7 + -6y = 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 + -6y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6y = 0 + -7
-6y = 0 + -7

Combine like terms: 0 + -7 = -7
-6y = -7

Divide each side by '-6'.
y = 1.166666667

Simplifying
y = 1.166666667
Solution
y = {-1.333333333, 1.166666667}

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