2(Y+3)=4(3Y-1)

Solution for 2(Y+3)=4(3Y-1) equation:

Simplifying
2(Y + 3) = 4(3Y + -1)

Reorder the terms:
2(3 + Y) = 4(3Y + -1)
(3 * 2 + Y * 2) = 4(3Y + -1)
(6 + 2Y) = 4(3Y + -1)

Reorder the terms:
6 + 2Y = 4(-1 + 3Y)
6 + 2Y = (-1 * 4 + 3Y * 4)
6 + 2Y = (-4 + 12Y)

Solving
6 + 2Y = -4 + 12Y

Solving for variable 'Y'.

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

Add '-12Y' to each side of the equation.
6 + 2Y + -12Y = -4 + 12Y + -12Y

Combine like terms: 2Y + -12Y = -10Y
6 + -10Y = -4 + 12Y + -12Y

Combine like terms: 12Y + -12Y = 0
6 + -10Y = -4 + 0
6 + -10Y = -4

Add '-6' to each side of the equation.
6 + -6 + -10Y = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -10Y = -4 + -6
-10Y = -4 + -6

Combine like terms: -4 + -6 = -10
-10Y = -10

Divide each side by '-10'.
Y = 1

Simplifying
Y = 1