4y+3=(3-y)2

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

Simplifying
4y + 3 = (3 + -1y) * 2

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

Reorder the terms for easier multiplication:
3 + 4y = 2(3 + -1y)
3 + 4y = (3 * 2 + -1y * 2)
3 + 4y = (6 + -2y)

Solving
3 + 4y = 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.
3 + 4y + 2y = 6 + -2y + 2y

Combine like terms: 4y + 2y = 6y
3 + 6y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
3 + 6y = 6 + 0
3 + 6y = 6

Add '-3' to each side of the equation.
3 + -3 + 6y = 6 + -3

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

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

Divide each side by '6'.
y = 0.5

Simplifying
y = 0.5