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

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

Simplifying
3y + -5(2y + -5) = -4 + -4(2 + -1y)

Reorder the terms:
3y + -5(-5 + 2y) = -4 + -4(2 + -1y)
3y + (-5 * -5 + 2y * -5) = -4 + -4(2 + -1y)
3y + (25 + -10y) = -4 + -4(2 + -1y)

Reorder the terms:
25 + 3y + -10y = -4 + -4(2 + -1y)

Combine like terms: 3y + -10y = -7y
25 + -7y = -4 + -4(2 + -1y)
25 + -7y = -4 + (2 * -4 + -1y * -4)
25 + -7y = -4 + (-8 + 4y)

Combine like terms: -4 + -8 = -12
25 + -7y = -12 + 4y

Solving
25 + -7y = -12 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
25 + -7y + -4y = -12 + 4y + -4y

Combine like terms: -7y + -4y = -11y
25 + -11y = -12 + 4y + -4y

Combine like terms: 4y + -4y = 0
25 + -11y = -12 + 0
25 + -11y = -12

Add '-25' to each side of the equation.
25 + -25 + -11y = -12 + -25

Combine like terms: 25 + -25 = 0
0 + -11y = -12 + -25
-11y = -12 + -25

Combine like terms: -12 + -25 = -37
-11y = -37

Divide each side by '-11'.
y = 3.363636364

Simplifying
y = 3.363636364