3(y+3)-5y=4(-2y+1)+5

Solution for 3(y+3)-5y=4(-2y+1)+5 equation:

Simplifying
3(y + 3) + -5y = 4(-2y + 1) + 5

Reorder the terms:
3(3 + y) + -5y = 4(-2y + 1) + 5
(3 * 3 + y * 3) + -5y = 4(-2y + 1) + 5
(9 + 3y) + -5y = 4(-2y + 1) + 5

Combine like terms: 3y + -5y = -2y
9 + -2y = 4(-2y + 1) + 5

Reorder the terms:
9 + -2y = 4(1 + -2y) + 5
9 + -2y = (1 * 4 + -2y * 4) + 5
9 + -2y = (4 + -8y) + 5

Reorder the terms:
9 + -2y = 4 + 5 + -8y

Combine like terms: 4 + 5 = 9
9 + -2y = 9 + -8y

Add '-9' to each side of the equation.
9 + -9 + -2y = 9 + -9 + -8y

Combine like terms: 9 + -9 = 0
0 + -2y = 9 + -9 + -8y
-2y = 9 + -9 + -8y

Combine like terms: 9 + -9 = 0
-2y = 0 + -8y
-2y = -8y

Solving
-2y = -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
-2y + 8y = -8y + 8y

Combine like terms: -2y + 8y = 6y
6y = -8y + 8y

Combine like terms: -8y + 8y = 0
6y = 0

Divide each side by '6'.
y = 0

Simplifying
y = 0