9(y-4)-Ty=5(3y-2)

Solution for 9(y-4)-Ty=5(3y-2) equation:

Simplifying
9(y + -4) + -1Ty = 5(3y + -2)

Reorder the terms:
9(-4 + y) + -1Ty = 5(3y + -2)
(-4 * 9 + y * 9) + -1Ty = 5(3y + -2)
(-36 + 9y) + -1Ty = 5(3y + -2)

Reorder the terms:
-36 + 9y + -1yT = 5(-2 + 3y)
-36 + 9y + -1yT = (-2 * 5 + 3y * 5)
-36 + 9y + -1yT = (-10 + 15y)

Solving
-36 + 9y + -1yT = -10 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-36 + 9y + -15y + -1yT = -10 + 15y + -15y

Combine like terms: 9y + -15y = -6y
-36 + -6y + -1yT = -10 + 15y + -15y

Combine like terms: 15y + -15y = 0
-36 + -6y + -1yT = -10 + 0
-36 + -6y + -1yT = -10

Add '36' to each side of the equation.
-36 + -6y + 36 + -1yT = -10 + 36

Reorder the terms:
-36 + 36 + -6y + -1yT = -10 + 36

Combine like terms: -36 + 36 = 0
0 + -6y + -1yT = -10 + 36
-6y + -1yT = -10 + 36

Combine like terms: -10 + 36 = 26
-6y + -1yT = 26

Reorder the terms:
-26 + -6y + -1yT = 26 + -26

Combine like terms: 26 + -26 = 0
-26 + -6y + -1yT = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(26 + 6y + yT) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(26 + 6y + yT)' equal to zero and attempt to solve:

Simplifying
26 + 6y + yT = 0

Solving
26 + 6y + yT = 0

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

Add '-26' to each side of the equation.
26 + 6y + -26 + yT = 0 + -26

Reorder the terms:
26 + -26 + 6y + yT = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 6y + yT = 0 + -26
6y + yT = 0 + -26

Combine like terms: 0 + -26 = -26
6y + yT = -26

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.