-20(y+3)+6(4y-4)=3(y-3)+13

Solution for -20(y+3)+6(4y-4)=3(y-3)+13 equation:

Simplifying
-20(y + 3) + 6(4y + -4) = 3(y + -3) + 13

Reorder the terms:
-20(3 + y) + 6(4y + -4) = 3(y + -3) + 13
(3 * -20 + y * -20) + 6(4y + -4) = 3(y + -3) + 13
(-60 + -20y) + 6(4y + -4) = 3(y + -3) + 13

Reorder the terms:
-60 + -20y + 6(-4 + 4y) = 3(y + -3) + 13
-60 + -20y + (-4 * 6 + 4y * 6) = 3(y + -3) + 13
-60 + -20y + (-24 + 24y) = 3(y + -3) + 13

Reorder the terms:
-60 + -24 + -20y + 24y = 3(y + -3) + 13

Combine like terms: -60 + -24 = -84
-84 + -20y + 24y = 3(y + -3) + 13

Combine like terms: -20y + 24y = 4y
-84 + 4y = 3(y + -3) + 13

Reorder the terms:
-84 + 4y = 3(-3 + y) + 13
-84 + 4y = (-3 * 3 + y * 3) + 13
-84 + 4y = (-9 + 3y) + 13

Reorder the terms:
-84 + 4y = -9 + 13 + 3y

Combine like terms: -9 + 13 = 4
-84 + 4y = 4 + 3y

Solving
-84 + 4y = 4 + 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.
-84 + 4y + -3y = 4 + 3y + -3y

Combine like terms: 4y + -3y = 1y
-84 + 1y = 4 + 3y + -3y

Combine like terms: 3y + -3y = 0
-84 + 1y = 4 + 0
-84 + 1y = 4

Add '84' to each side of the equation.
-84 + 84 + 1y = 4 + 84

Combine like terms: -84 + 84 = 0
0 + 1y = 4 + 84
1y = 4 + 84

Combine like terms: 4 + 84 = 88
1y = 88

Divide each side by '1'.
y = 88

Simplifying
y = 88