7(Y-1)-8=-4(-4Y+6)-3Y

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Solution for 7(Y-1)-8=-4(-4Y+6)-3Y equation: 


Simplifying
7(Y + -1) + -8 = -4(-4Y + 6) + -3Y

Reorder the terms:
7(-1 + Y) + -8 = -4(-4Y + 6) + -3Y
(-1 * 7 + Y * 7) + -8 = -4(-4Y + 6) + -3Y
(-7 + 7Y) + -8 = -4(-4Y + 6) + -3Y

Reorder the terms:
-7 + -8 + 7Y = -4(-4Y + 6) + -3Y

Combine like terms: -7 + -8 = -15
-15 + 7Y = -4(-4Y + 6) + -3Y

Reorder the terms:
-15 + 7Y = -4(6 + -4Y) + -3Y
-15 + 7Y = (6 * -4 + -4Y * -4) + -3Y
-15 + 7Y = (-24 + 16Y) + -3Y

Combine like terms: 16Y + -3Y = 13Y
-15 + 7Y = -24 + 13Y

Solving
-15 + 7Y = -24 + 13Y

Solving for variable 'Y'.

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

Add '-13Y' to each side of the equation.
-15 + 7Y + -13Y = -24 + 13Y + -13Y

Combine like terms: 7Y + -13Y = -6Y
-15 + -6Y = -24 + 13Y + -13Y

Combine like terms: 13Y + -13Y = 0
-15 + -6Y = -24 + 0
-15 + -6Y = -24

Add '15' to each side of the equation.
-15 + 15 + -6Y = -24 + 15

Combine like terms: -15 + 15 = 0
0 + -6Y = -24 + 15
-6Y = -24 + 15

Combine like terms: -24 + 15 = -9
-6Y = -9

Divide each side by '-6'.
Y = 1.5

Simplifying
Y = 1.5

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