4y-3=6+3(y-2)

Solution for 4y-3=6+3(y-2) equation:

Simplifying
4y + -3 = 6 + 3(y + -2)

Reorder the terms:
-3 + 4y = 6 + 3(y + -2)

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

Combine like terms: 6 + -6 = 0
-3 + 4y = 0 + 3y
-3 + 4y = 3y

Solving
-3 + 4y = 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-3 + 4y + -3y = 3y + -3y

Combine like terms: 4y + -3y = 1y
-3 + 1y = 3y + -3y

Combine like terms: 3y + -3y = 0
-3 + 1y = 0

Add '3' to each side of the equation.
-3 + 3 + 1y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 1y = 0 + 3
1y = 0 + 3

Combine like terms: 0 + 3 = 3
1y = 3

Divide each side by '1'.
y = 3

Simplifying
y = 3