10(t-9)-9(5-6t)=-9y-[-(2+4y)-8]+2

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Solution for 10(t-9)-9(5-6t)=-9y-[-(2+4y)-8]+2 equation: 


Simplifying
10(t + -9) + -9(5 + -6t) = -9y + -1[-1(2 + 4y) + -8] + 2

Reorder the terms:
10(-9 + t) + -9(5 + -6t) = -9y + -1[-1(2 + 4y) + -8] + 2
(-9 * 10 + t * 10) + -9(5 + -6t) = -9y + -1[-1(2 + 4y) + -8] + 2
(-90 + 10t) + -9(5 + -6t) = -9y + -1[-1(2 + 4y) + -8] + 2
-90 + 10t + (5 * -9 + -6t * -9) = -9y + -1[-1(2 + 4y) + -8] + 2
-90 + 10t + (-45 + 54t) = -9y + -1[-1(2 + 4y) + -8] + 2

Reorder the terms:
-90 + -45 + 10t + 54t = -9y + -1[-1(2 + 4y) + -8] + 2

Combine like terms: -90 + -45 = -135
-135 + 10t + 54t = -9y + -1[-1(2 + 4y) + -8] + 2

Combine like terms: 10t + 54t = 64t
-135 + 64t = -9y + -1[-1(2 + 4y) + -8] + 2
-135 + 64t = -9y + -1[(2 * -1 + 4y * -1) + -8] + 2
-135 + 64t = -9y + -1[(-2 + -4y) + -8] + 2

Reorder the terms:
-135 + 64t = -9y + -1[-2 + -8 + -4y] + 2

Combine like terms: -2 + -8 = -10
-135 + 64t = -9y + -1[-10 + -4y] + 2
-135 + 64t = -9y + [-10 * -1 + -4y * -1] + 2
-135 + 64t = -9y + [10 + 4y] + 2

Reorder the terms:
-135 + 64t = 10 + 2 + -9y + 4y

Combine like terms: 10 + 2 = 12
-135 + 64t = 12 + -9y + 4y

Combine like terms: -9y + 4y = -5y
-135 + 64t = 12 + -5y

Solving
-135 + 64t = 12 + -5y

Solving for variable 't'.

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

Add '135' to each side of the equation.
-135 + 135 + 64t = 12 + 135 + -5y

Combine like terms: -135 + 135 = 0
0 + 64t = 12 + 135 + -5y
64t = 12 + 135 + -5y

Combine like terms: 12 + 135 = 147
64t = 147 + -5y

Divide each side by '64'.
t = 2.296875 + -0.078125y

Simplifying
t = 2.296875 + -0.078125y

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