5y-2(2y-3)=-15

Solution for 5y-2(2y-3)=-15 equation:

Simplifying
5y + -2(2y + -3) = -15

Reorder the terms:
5y + -2(-3 + 2y) = -15
5y + (-3 * -2 + 2y * -2) = -15
5y + (6 + -4y) = -15

Reorder the terms:
6 + 5y + -4y = -15

Combine like terms: 5y + -4y = 1y
6 + 1y = -15

Solving
6 + 1y = -15

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 1y = -15 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = -15 + -6
1y = -15 + -6

Combine like terms: -15 + -6 = -21
1y = -21

Divide each side by '1'.
y = -21

Simplifying
y = -21