2(y-1)+3(y-3)=-20

Solution for 2(y-1)+3(y-3)=-20 equation:

Simplifying
2(y + -1) + 3(y + -3) = -20

Reorder the terms:
2(-1 + y) + 3(y + -3) = -20
(-1 * 2 + y * 2) + 3(y + -3) = -20
(-2 + 2y) + 3(y + -3) = -20

Reorder the terms:
-2 + 2y + 3(-3 + y) = -20
-2 + 2y + (-3 * 3 + y * 3) = -20
-2 + 2y + (-9 + 3y) = -20

Reorder the terms:
-2 + -9 + 2y + 3y = -20

Combine like terms: -2 + -9 = -11
-11 + 2y + 3y = -20

Combine like terms: 2y + 3y = 5y
-11 + 5y = -20

Solving
-11 + 5y = -20

Solving for variable 'y'.

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

Add '11' to each side of the equation.
-11 + 11 + 5y = -20 + 11

Combine like terms: -11 + 11 = 0
0 + 5y = -20 + 11
5y = -20 + 11

Combine like terms: -20 + 11 = -9
5y = -9

Divide each side by '5'.
y = -1.8

Simplifying
y = -1.8