8(t+2)-3y(t-4)=6(t-7)+8

Solution for 8(t+2)-3y(t-4)=6(t-7)+8 equation:

Simplifying
8(t + 2) + -3y(t + -4) = 6(t + -7) + 8

Reorder the terms:
8(2 + t) + -3y(t + -4) = 6(t + -7) + 8
(2 * 8 + t * 8) + -3y(t + -4) = 6(t + -7) + 8
(16 + 8t) + -3y(t + -4) = 6(t + -7) + 8

Reorder the terms:
16 + 8t + -3y(-4 + t) = 6(t + -7) + 8
16 + 8t + (-4 * -3y + t * -3y) = 6(t + -7) + 8

Reorder the terms:
16 + 8t + (-3ty + 12y) = 6(t + -7) + 8
16 + 8t + (-3ty + 12y) = 6(t + -7) + 8

Reorder the terms:
16 + 8t + -3ty + 12y = 6(-7 + t) + 8
16 + 8t + -3ty + 12y = (-7 * 6 + t * 6) + 8
16 + 8t + -3ty + 12y = (-42 + 6t) + 8

Reorder the terms:
16 + 8t + -3ty + 12y = -42 + 8 + 6t

Combine like terms: -42 + 8 = -34
16 + 8t + -3ty + 12y = -34 + 6t

Solving
16 + 8t + -3ty + 12y = -34 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
16 + 8t + -3ty + -6t + 12y = -34 + 6t + -6t

Reorder the terms:
16 + 8t + -6t + -3ty + 12y = -34 + 6t + -6t

Combine like terms: 8t + -6t = 2t
16 + 2t + -3ty + 12y = -34 + 6t + -6t

Combine like terms: 6t + -6t = 0
16 + 2t + -3ty + 12y = -34 + 0
16 + 2t + -3ty + 12y = -34

Add '-16' to each side of the equation.
16 + 2t + -3ty + -16 + 12y = -34 + -16

Reorder the terms:
16 + -16 + 2t + -3ty + 12y = -34 + -16

Combine like terms: 16 + -16 = 0
0 + 2t + -3ty + 12y = -34 + -16
2t + -3ty + 12y = -34 + -16

Combine like terms: -34 + -16 = -50
2t + -3ty + 12y = -50

Add '-12y' to each side of the equation.
2t + -3ty + 12y + -12y = -50 + -12y

Combine like terms: 12y + -12y = 0
2t + -3ty + 0 = -50 + -12y
2t + -3ty = -50 + -12y

Reorder the terms:
50 + 2t + -3ty + 12y = -50 + -12y + 50 + 12y

Reorder the terms:
50 + 2t + -3ty + 12y = -50 + 50 + -12y + 12y

Combine like terms: -50 + 50 = 0
50 + 2t + -3ty + 12y = 0 + -12y + 12y
50 + 2t + -3ty + 12y = -12y + 12y

Combine like terms: -12y + 12y = 0
50 + 2t + -3ty + 12y = 0

The solution to this equation could not be determined.