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

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


Simplifying
-1(3y + 7)(4y + 3) = 0

Reorder the terms:
-1(7 + 3y)(4y + 3) = 0

Reorder the terms:
-1(7 + 3y)(3 + 4y) = 0

Multiply (7 + 3y) * (3 + 4y)
-1(7(3 + 4y) + 3y * (3 + 4y)) = 0
-1((3 * 7 + 4y * 7) + 3y * (3 + 4y)) = 0
-1((21 + 28y) + 3y * (3 + 4y)) = 0
-1(21 + 28y + (3 * 3y + 4y * 3y)) = 0
-1(21 + 28y + (9y + 12y2)) = 0

Combine like terms: 28y + 9y = 37y
-1(21 + 37y + 12y2) = 0
(21 * -1 + 37y * -1 + 12y2 * -1) = 0
(-21 + -37y + -12y2) = 0

Solving
-21 + -37y + -12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(21 + 37y + 12y2) = 0

Factor a trinomial.
-1((7 + 3y)(3 + 4y)) = 0

Ignore the factor -1.

Subproblem 1
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

Subproblem 2
Set the factor '(3 + 4y)' equal to zero and attempt to solve:

Simplifying
3 + 4y = 0

Solving
3 + 4y = 0

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

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

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

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

Divide each side by '4'.
y = -0.75

Simplifying
y = -0.75
Solution
y = {-2.333333333, -0.75}

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