8*(y-7)-3*(2Y+9)=15

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Solution for 8*(y-7)-3*(2Y+9)=15 equation: 


Simplifying
8(y + -7) + -3(2Y + 9) = 15

Reorder the terms:
8(-7 + y) + -3(2Y + 9) = 15
(-7 * 8 + y * 8) + -3(2Y + 9) = 15
(-56 + 8y) + -3(2Y + 9) = 15

Reorder the terms:
-56 + 8y + -3(9 + 2Y) = 15
-56 + 8y + (9 * -3 + 2Y * -3) = 15
-56 + 8y + (-27 + -6Y) = 15

Reorder the terms:
-56 + -27 + -6Y + 8y = 15

Combine like terms: -56 + -27 = -83
-83 + -6Y + 8y = 15

Solving
-83 + -6Y + 8y = 15

Solving for variable 'Y'.

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

Add '83' to each side of the equation.
-83 + -6Y + 83 + 8y = 15 + 83

Reorder the terms:
-83 + 83 + -6Y + 8y = 15 + 83

Combine like terms: -83 + 83 = 0
0 + -6Y + 8y = 15 + 83
-6Y + 8y = 15 + 83

Combine like terms: 15 + 83 = 98
-6Y + 8y = 98

Add '-8y' to each side of the equation.
-6Y + 8y + -8y = 98 + -8y

Combine like terms: 8y + -8y = 0
-6Y + 0 = 98 + -8y
-6Y = 98 + -8y

Divide each side by '-6'.
Y = -16.33333333 + 1.333333333y

Simplifying
Y = -16.33333333 + 1.333333333y

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