-3(-4-6y)+7(-t+5)=-8

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Solution for -3(-4-6y)+7(-t+5)=-8 equation:


Simplifying
-3(-4 + -6y) + 7(-1t + 5) = -8
(-4 * -3 + -6y * -3) + 7(-1t + 5) = -8
(12 + 18y) + 7(-1t + 5) = -8

Reorder the terms:
12 + 18y + 7(5 + -1t) = -8
12 + 18y + (5 * 7 + -1t * 7) = -8
12 + 18y + (35 + -7t) = -8

Reorder the terms:
12 + 35 + -7t + 18y = -8

Combine like terms: 12 + 35 = 47
47 + -7t + 18y = -8

Solving
47 + -7t + 18y = -8

Solving for variable 't'.

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

Add '-47' to each side of the equation.
47 + -7t + -47 + 18y = -8 + -47

Reorder the terms:
47 + -47 + -7t + 18y = -8 + -47

Combine like terms: 47 + -47 = 0
0 + -7t + 18y = -8 + -47
-7t + 18y = -8 + -47

Combine like terms: -8 + -47 = -55
-7t + 18y = -55

Add '-18y' to each side of the equation.
-7t + 18y + -18y = -55 + -18y

Combine like terms: 18y + -18y = 0
-7t + 0 = -55 + -18y
-7t = -55 + -18y

Divide each side by '-7'.
t = 7.857142857 + 2.571428571y

Simplifying
t = 7.857142857 + 2.571428571y

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