(7t+6)+(3t+x)+(4t+y)=48

Solution for (7t+6)+(3t+x)+(4t+y)=48 equation:

Simplifying
(7t + 6) + (3t + x) + (4t + y) = 48

Reorder the terms:
(6 + 7t) + (3t + x) + (4t + y) = 48

Remove parenthesis around (6 + 7t)
6 + 7t + (3t + x) + (4t + y) = 48

Remove parenthesis around (3t + x)
6 + 7t + 3t + x + (4t + y) = 48

Remove parenthesis around (4t + y)
6 + 7t + 3t + x + 4t + y = 48

Reorder the terms:
6 + 7t + 3t + 4t + x + y = 48

Combine like terms: 7t + 3t = 10t
6 + 10t + 4t + x + y = 48

Combine like terms: 10t + 4t = 14t
6 + 14t + x + y = 48

Solving
6 + 14t + x + y = 48

Solving for variable 't'.

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

Add '-6' to each side of the equation.
6 + 14t + x + -6 + y = 48 + -6

Reorder the terms:
6 + -6 + 14t + x + y = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 14t + x + y = 48 + -6
14t + x + y = 48 + -6

Combine like terms: 48 + -6 = 42
14t + x + y = 42

Add '-1x' to each side of the equation.
14t + x + -1x + y = 42 + -1x

Combine like terms: x + -1x = 0
14t + 0 + y = 42 + -1x
14t + y = 42 + -1x

Add '-1y' to each side of the equation.
14t + y + -1y = 42 + -1x + -1y

Combine like terms: y + -1y = 0
14t + 0 = 42 + -1x + -1y
14t = 42 + -1x + -1y

Divide each side by '14'.
t = 3 + -0.07142857143x + -0.07142857143y

Simplifying
t = 3 + -0.07142857143x + -0.07142857143y