1+3(-8Y+1)=6(-9Y+3)+7

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Solution for 1+3(-8Y+1)=6(-9Y+3)+7 equation: 


Simplifying
1 + 3(-8Y + 1) = 6(-9Y + 3) + 7

Reorder the terms:
1 + 3(1 + -8Y) = 6(-9Y + 3) + 7
1 + (1 * 3 + -8Y * 3) = 6(-9Y + 3) + 7
1 + (3 + -24Y) = 6(-9Y + 3) + 7

Combine like terms: 1 + 3 = 4
4 + -24Y = 6(-9Y + 3) + 7

Reorder the terms:
4 + -24Y = 6(3 + -9Y) + 7
4 + -24Y = (3 * 6 + -9Y * 6) + 7
4 + -24Y = (18 + -54Y) + 7

Reorder the terms:
4 + -24Y = 18 + 7 + -54Y

Combine like terms: 18 + 7 = 25
4 + -24Y = 25 + -54Y

Solving
4 + -24Y = 25 + -54Y

Solving for variable 'Y'.

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

Add '54Y' to each side of the equation.
4 + -24Y + 54Y = 25 + -54Y + 54Y

Combine like terms: -24Y + 54Y = 30Y
4 + 30Y = 25 + -54Y + 54Y

Combine like terms: -54Y + 54Y = 0
4 + 30Y = 25 + 0
4 + 30Y = 25

Add '-4' to each side of the equation.
4 + -4 + 30Y = 25 + -4

Combine like terms: 4 + -4 = 0
0 + 30Y = 25 + -4
30Y = 25 + -4

Combine like terms: 25 + -4 = 21
30Y = 21

Divide each side by '30'.
Y = 0.7

Simplifying
Y = 0.7

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