4(-5y+1)=-3(-y+6)

Solution for 4(-5y+1)=-3(-y+6) equation:

Simplifying
4(-5y + 1) = -3(-1y + 6)

Reorder the terms:
4(1 + -5y) = -3(-1y + 6)
(1 * 4 + -5y * 4) = -3(-1y + 6)
(4 + -20y) = -3(-1y + 6)

Reorder the terms:
4 + -20y = -3(6 + -1y)
4 + -20y = (6 * -3 + -1y * -3)
4 + -20y = (-18 + 3y)

Solving
4 + -20y = -18 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
4 + -20y + -3y = -18 + 3y + -3y

Combine like terms: -20y + -3y = -23y
4 + -23y = -18 + 3y + -3y

Combine like terms: 3y + -3y = 0
4 + -23y = -18 + 0
4 + -23y = -18

Add '-4' to each side of the equation.
4 + -4 + -23y = -18 + -4

Combine like terms: 4 + -4 = 0
0 + -23y = -18 + -4
-23y = -18 + -4

Combine like terms: -18 + -4 = -22
-23y = -22

Divide each side by '-23'.
y = 0.9565217391

Simplifying
y = 0.9565217391