2(5y-5)-23=4(4y+5)+1

Solution for 2(5y-5)-23=4(4y+5)+1 equation:

Simplifying
2(5y + -5) + -23 = 4(4y + 5) + 1

Reorder the terms:
2(-5 + 5y) + -23 = 4(4y + 5) + 1
(-5 * 2 + 5y * 2) + -23 = 4(4y + 5) + 1
(-10 + 10y) + -23 = 4(4y + 5) + 1

Reorder the terms:
-10 + -23 + 10y = 4(4y + 5) + 1

Combine like terms: -10 + -23 = -33
-33 + 10y = 4(4y + 5) + 1

Reorder the terms:
-33 + 10y = 4(5 + 4y) + 1
-33 + 10y = (5 * 4 + 4y * 4) + 1
-33 + 10y = (20 + 16y) + 1

Reorder the terms:
-33 + 10y = 20 + 1 + 16y

Combine like terms: 20 + 1 = 21
-33 + 10y = 21 + 16y

Solving
-33 + 10y = 21 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
-33 + 10y + -16y = 21 + 16y + -16y

Combine like terms: 10y + -16y = -6y
-33 + -6y = 21 + 16y + -16y

Combine like terms: 16y + -16y = 0
-33 + -6y = 21 + 0
-33 + -6y = 21

Add '33' to each side of the equation.
-33 + 33 + -6y = 21 + 33

Combine like terms: -33 + 33 = 0
0 + -6y = 21 + 33
-6y = 21 + 33

Combine like terms: 21 + 33 = 54
-6y = 54

Divide each side by '-6'.
y = -9

Simplifying
y = -9