4(5-t)-(3-2y)=12

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Solution for 4(5-t)-(3-2y)=12 equation: 


Simplifying
4(5 + -1t) + -1(3 + -2y) = 12
(5 * 4 + -1t * 4) + -1(3 + -2y) = 12
(20 + -4t) + -1(3 + -2y) = 12
20 + -4t + (3 * -1 + -2y * -1) = 12
20 + -4t + (-3 + 2y) = 12

Reorder the terms:
20 + -3 + -4t + 2y = 12

Combine like terms: 20 + -3 = 17
17 + -4t + 2y = 12

Solving
17 + -4t + 2y = 12

Solving for variable 't'.

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

Add '-17' to each side of the equation.
17 + -4t + -17 + 2y = 12 + -17

Reorder the terms:
17 + -17 + -4t + 2y = 12 + -17

Combine like terms: 17 + -17 = 0
0 + -4t + 2y = 12 + -17
-4t + 2y = 12 + -17

Combine like terms: 12 + -17 = -5
-4t + 2y = -5

Add '-2y' to each side of the equation.
-4t + 2y + -2y = -5 + -2y

Combine like terms: 2y + -2y = 0
-4t + 0 = -5 + -2y
-4t = -5 + -2y

Divide each side by '-4'.
t = 1.25 + 0.5y

Simplifying
t = 1.25 + 0.5y

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