Y-3(12y-14)=9(-4y-8)

Solution for Y-3(12y-14)=9(-4y-8) equation:

Simplifying
Y + -3(12y + -14) = 9(-4y + -8)

Reorder the terms:
Y + -3(-14 + 12y) = 9(-4y + -8)
Y + (-14 * -3 + 12y * -3) = 9(-4y + -8)
Y + (42 + -36y) = 9(-4y + -8)

Reorder the terms:
42 + Y + -36y = 9(-4y + -8)

Reorder the terms:
42 + Y + -36y = 9(-8 + -4y)
42 + Y + -36y = (-8 * 9 + -4y * 9)
42 + Y + -36y = (-72 + -36y)

Add '36y' to each side of the equation.
42 + Y + -36y + 36y = -72 + -36y + 36y

Combine like terms: -36y + 36y = 0
42 + Y + 0 = -72 + -36y + 36y
42 + Y = -72 + -36y + 36y

Combine like terms: -36y + 36y = 0
42 + Y = -72 + 0
42 + Y = -72

Solving
42 + Y = -72

Solving for variable 'Y'.

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

Add '-42' to each side of the equation.
42 + -42 + Y = -72 + -42

Combine like terms: 42 + -42 = 0
0 + Y = -72 + -42
Y = -72 + -42

Combine like terms: -72 + -42 = -114
Y = -114

Simplifying
Y = -114