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

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

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

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

Remove parenthesis around (3 + 4y)
3 + 4y + -1(-3y + -6) = -2

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

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

Combine like terms: 3 + 6 = 9
9 + 4y + 3y = -2

Combine like terms: 4y + 3y = 7y
9 + 7y = -2

Solving
9 + 7y = -2

Solving for variable 'y'.

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

Add '-9' to each side of the equation.
9 + -9 + 7y = -2 + -9

Combine like terms: 9 + -9 = 0
0 + 7y = -2 + -9
7y = -2 + -9

Combine like terms: -2 + -9 = -11
7y = -11

Divide each side by '7'.
y = -1.571428571

Simplifying
y = -1.571428571