7y-2(y-3)=-4

Solution for 7y-2(y-3)=-4 equation:

Simplifying
7y + -2(y + -3) = -4

Reorder the terms:
7y + -2(-3 + y) = -4
7y + (-3 * -2 + y * -2) = -4
7y + (6 + -2y) = -4

Reorder the terms:
6 + 7y + -2y = -4

Combine like terms: 7y + -2y = 5y
6 + 5y = -4

Solving
6 + 5y = -4

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 + 5y = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 5y = -4 + -6
5y = -4 + -6

Combine like terms: -4 + -6 = -10
5y = -10

Divide each side by '5'.
y = -2

Simplifying
y = -2