Y=2[x-(6-x)]-3(x+1)

Solution for Y=2[x-(6-x)]-3(x+1) equation:

Simplifying
Y = 2[x + -1(6 + -1x)] + -3(x + 1)
Y = 2[x + (6 * -1 + -1x * -1)] + -3(x + 1)
Y = 2[x + (-6 + 1x)] + -3(x + 1)

Reorder the terms:
Y = 2[-6 + x + 1x] + -3(x + 1)

Combine like terms: x + 1x = 2x
Y = 2[-6 + 2x] + -3(x + 1)
Y = [-6 * 2 + 2x * 2] + -3(x + 1)
Y = [-12 + 4x] + -3(x + 1)

Reorder the terms:
Y = -12 + 4x + -3(1 + x)
Y = -12 + 4x + (1 * -3 + x * -3)
Y = -12 + 4x + (-3 + -3x)

Reorder the terms:
Y = -12 + -3 + 4x + -3x

Combine like terms: -12 + -3 = -15
Y = -15 + 4x + -3x

Combine like terms: 4x + -3x = 1x
Y = -15 + 1x

Solving
Y = -15 + 1x

Solving for variable 'Y'.

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

Simplifying
Y = -15 + 1x