5(y+9)-2(1-y)=1

Solution for 5(y+9)-2(1-y)=1 equation:

Simplifying
5(y + 9) + -2(1 + -1y) = 1

Reorder the terms:
5(9 + y) + -2(1 + -1y) = 1
(9 * 5 + y * 5) + -2(1 + -1y) = 1
(45 + 5y) + -2(1 + -1y) = 1
45 + 5y + (1 * -2 + -1y * -2) = 1
45 + 5y + (-2 + 2y) = 1

Reorder the terms:
45 + -2 + 5y + 2y = 1

Combine like terms: 45 + -2 = 43
43 + 5y + 2y = 1

Combine like terms: 5y + 2y = 7y
43 + 7y = 1

Solving
43 + 7y = 1

Solving for variable 'y'.

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

Add '-43' to each side of the equation.
43 + -43 + 7y = 1 + -43

Combine like terms: 43 + -43 = 0
0 + 7y = 1 + -43
7y = 1 + -43

Combine like terms: 1 + -43 = -42
7y = -42

Divide each side by '7'.
y = -6

Simplifying
y = -6