4(2y+1)-(4-3)=2y+6

Solution for 4(2y+1)-(4-3)=2y+6 equation:

Simplifying
4(2y + 1) + -1(4 + -3) = 2y + 6

Reorder the terms:
4(1 + 2y) + -1(4 + -3) = 2y + 6
(1 * 4 + 2y * 4) + -1(4 + -3) = 2y + 6
(4 + 8y) + -1(4 + -3) = 2y + 6

Combine like terms: 4 + -3 = 1
4 + 8y + -1(1) = 2y + 6

Multiply -1 * 1
4 + 8y + -1 = 2y + 6

Reorder the terms:
4 + -1 + 8y = 2y + 6

Combine like terms: 4 + -1 = 3
3 + 8y = 2y + 6

Reorder the terms:
3 + 8y = 6 + 2y

Solving
3 + 8y = 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 + 8y + -2y = 6 + 2y + -2y

Combine like terms: 8y + -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