3(Y-2)+5=2Y+6

Solution for 3(Y-2)+5=2Y+6 equation:

Simplifying
3(Y + -2) + 5 = 2Y + 6

Reorder the terms:
3(-2 + Y) + 5 = 2Y + 6
(-2 * 3 + Y * 3) + 5 = 2Y + 6
(-6 + 3Y) + 5 = 2Y + 6

Reorder the terms:
-6 + 5 + 3Y = 2Y + 6

Combine like terms: -6 + 5 = -1
-1 + 3Y = 2Y + 6

Reorder the terms:
-1 + 3Y = 6 + 2Y

Solving
-1 + 3Y = 6 + 2Y

Solving for variable 'Y'.

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

Add '-2Y' to each side of the equation.
-1 + 3Y + -2Y = 6 + 2Y + -2Y

Combine like terms: 3Y + -2Y = 1Y
-1 + 1Y = 6 + 2Y + -2Y

Combine like terms: 2Y + -2Y = 0
-1 + 1Y = 6 + 0
-1 + 1Y = 6

Add '1' to each side of the equation.
-1 + 1 + 1Y = 6 + 1

Combine like terms: -1 + 1 = 0
0 + 1Y = 6 + 1
1Y = 6 + 1

Combine like terms: 6 + 1 = 7
1Y = 7

Divide each side by '1'.
Y = 7

Simplifying
Y = 7