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

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

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

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

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

Combine like terms: 5y + -15y = -10y
6 + -10y = -2(4y + 2)

Reorder the terms:
6 + -10y = -2(2 + 4y)
6 + -10y = (2 * -2 + 4y * -2)
6 + -10y = (-4 + -8y)

Solving
6 + -10y = -4 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
6 + -10y + 8y = -4 + -8y + 8y

Combine like terms: -10y + 8y = -2y
6 + -2y = -4 + -8y + 8y

Combine like terms: -8y + 8y = 0
6 + -2y = -4 + 0
6 + -2y = -4

Add '-6' to each side of the equation.
6 + -6 + -2y = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -2y = -4 + -6
-2y = -4 + -6

Combine like terms: -4 + -6 = -10
-2y = -10

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

Simplifying
y = 5