3(y+2)-5(2y+8)=y+1

Solution for 3(y+2)-5(2y+8)=y+1 equation:

Simplifying
3(y + 2) + -5(2y + 8) = y + 1

Reorder the terms:
3(2 + y) + -5(2y + 8) = y + 1
(2 * 3 + y * 3) + -5(2y + 8) = y + 1
(6 + 3y) + -5(2y + 8) = y + 1

Reorder the terms:
6 + 3y + -5(8 + 2y) = y + 1
6 + 3y + (8 * -5 + 2y * -5) = y + 1
6 + 3y + (-40 + -10y) = y + 1

Reorder the terms:
6 + -40 + 3y + -10y = y + 1

Combine like terms: 6 + -40 = -34
-34 + 3y + -10y = y + 1

Combine like terms: 3y + -10y = -7y
-34 + -7y = y + 1

Reorder the terms:
-34 + -7y = 1 + y

Solving
-34 + -7y = 1 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-34 + -7y + -1y = 1 + y + -1y

Combine like terms: -7y + -1y = -8y
-34 + -8y = 1 + y + -1y

Combine like terms: y + -1y = 0
-34 + -8y = 1 + 0
-34 + -8y = 1

Add '34' to each side of the equation.
-34 + 34 + -8y = 1 + 34

Combine like terms: -34 + 34 = 0
0 + -8y = 1 + 34
-8y = 1 + 34

Combine like terms: 1 + 34 = 35
-8y = 35

Divide each side by '-8'.
y = -4.375

Simplifying
y = -4.375