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

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

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

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

Reorder the terms:
9 + 3y = 5 + -1 + -5y

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

Solving
9 + 3y = 4 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
9 + 3y + 5y = 4 + -5y + 5y

Combine like terms: 3y + 5y = 8y
9 + 8y = 4 + -5y + 5y

Combine like terms: -5y + 5y = 0
9 + 8y = 4 + 0
9 + 8y = 4

Add '-9' to each side of the equation.
9 + -9 + 8y = 4 + -9

Combine like terms: 9 + -9 = 0
0 + 8y = 4 + -9
8y = 4 + -9

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

Divide each side by '8'.
y = -0.625

Simplifying
y = -0.625