12y(y)-12=7y

Solution for 12y(y)-12=7y equation:

Simplifying
12y(y) + -12 = 7y

Multiply y * y
12y2 + -12 = 7y

Reorder the terms:
-12 + 12y2 = 7y

Solving
-12 + 12y2 = 7y

Solving for variable 'y'.

Reorder the terms:
-12 + -7y + 12y2 = 7y + -7y

Combine like terms: 7y + -7y = 0
-12 + -7y + 12y2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
y = {-0.75, 1.333333333}