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

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


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

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

Reorder the terms:
16 + 8t + -3(-4 + y) = 6(y + -7) + 8
16 + 8t + (-4 * -3 + y * -3) = 6(y + -7) + 8
16 + 8t + (12 + -3y) = 6(y + -7) + 8

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

Combine like terms: 16 + 12 = 28
28 + 8t + -3y = 6(y + -7) + 8

Reorder the terms:
28 + 8t + -3y = 6(-7 + y) + 8
28 + 8t + -3y = (-7 * 6 + y * 6) + 8
28 + 8t + -3y = (-42 + 6y) + 8

Reorder the terms:
28 + 8t + -3y = -42 + 8 + 6y

Combine like terms: -42 + 8 = -34
28 + 8t + -3y = -34 + 6y

Solving
28 + 8t + -3y = -34 + 6y

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 + 8t + -28 + -3y = -34 + -28 + 6y

Reorder the terms:
28 + -28 + 8t + -3y = -34 + -28 + 6y

Combine like terms: 28 + -28 = 0
0 + 8t + -3y = -34 + -28 + 6y
8t + -3y = -34 + -28 + 6y

Combine like terms: -34 + -28 = -62
8t + -3y = -62 + 6y

Add '3y' to each side of the equation.
8t + -3y + 3y = -62 + 6y + 3y

Combine like terms: -3y + 3y = 0
8t + 0 = -62 + 6y + 3y
8t = -62 + 6y + 3y

Combine like terms: 6y + 3y = 9y
8t = -62 + 9y

Divide each side by '8'.
t = -7.75 + 1.125y

Simplifying
t = -7.75 + 1.125y

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