8(t+2)-3(t-4)=-3(5y-7)+8

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Solution for 8(t+2)-3(t-4)=-3(5y-7)+8 equation: 


Simplifying
8(t + 2) + -3(t + -4) = -3(5y + -7) + 8

Reorder the terms:
8(2 + t) + -3(t + -4) = -3(5y + -7) + 8
(2 * 8 + t * 8) + -3(t + -4) = -3(5y + -7) + 8
(16 + 8t) + -3(t + -4) = -3(5y + -7) + 8

Reorder the terms:
16 + 8t + -3(-4 + t) = -3(5y + -7) + 8
16 + 8t + (-4 * -3 + t * -3) = -3(5y + -7) + 8
16 + 8t + (12 + -3t) = -3(5y + -7) + 8

Reorder the terms:
16 + 12 + 8t + -3t = -3(5y + -7) + 8

Combine like terms: 16 + 12 = 28
28 + 8t + -3t = -3(5y + -7) + 8

Combine like terms: 8t + -3t = 5t
28 + 5t = -3(5y + -7) + 8

Reorder the terms:
28 + 5t = -3(-7 + 5y) + 8
28 + 5t = (-7 * -3 + 5y * -3) + 8
28 + 5t = (21 + -15y) + 8

Reorder the terms:
28 + 5t = 21 + 8 + -15y

Combine like terms: 21 + 8 = 29
28 + 5t = 29 + -15y

Solving
28 + 5t = 29 + -15y

Solving for variable 't'.

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

Add '-28' to each side of the equation.
28 + -28 + 5t = 29 + -28 + -15y

Combine like terms: 28 + -28 = 0
0 + 5t = 29 + -28 + -15y
5t = 29 + -28 + -15y

Combine like terms: 29 + -28 = 1
5t = 1 + -15y

Divide each side by '5'.
t = 0.2 + -3y

Simplifying
t = 0.2 + -3y

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