5y-3(2y-2)=4

Solution for 5y-3(2y-2)=4 equation:

Simplifying
5y + -3(2y + -2) = 4

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

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

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

Solving
6 + -1y = 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 + -1y = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 4 + -6
-1y = 4 + -6

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

Divide each side by '-1'.
y = 2

Simplifying
y = 2