(6y-5y-3)(2y+7)=

Solution for (6y-5y-3)(2y+7)= equation:

Simplifying
(6y + -5y + -3)(2y + 7) = 0

Reorder the terms:
(-3 + 6y + -5y)(2y + 7) = 0

Combine like terms: 6y + -5y = 1y
(-3 + 1y)(2y + 7) = 0

Reorder the terms:
(-3 + 1y)(7 + 2y) = 0

Multiply (-3 + 1y) * (7 + 2y)
(-3(7 + 2y) + 1y * (7 + 2y)) = 0
((7 * -3 + 2y * -3) + 1y * (7 + 2y)) = 0
((-21 + -6y) + 1y * (7 + 2y)) = 0
(-21 + -6y + (7 * 1y + 2y * 1y)) = 0
(-21 + -6y + (7y + 2y2)) = 0

Combine like terms: -6y + 7y = 1y
(-21 + 1y + 2y2) = 0

Solving
-21 + 1y + 2y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(-7 + -2y)' equal to zero and attempt to solve:

Simplifying
-7 + -2y = 0

Solving
-7 + -2y = 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 + -2y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2y = 0 + 7
-2y = 0 + 7

Combine like terms: 0 + 7 = 7
-2y = 7

Divide each side by '-2'.
y = -3.5

Simplifying
y = -3.5
Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 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 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {-3.5, 3}