9(2y+4)=5+(10y-1)

Solution for 9(2y+4)=5+(10y-1) equation:

Simplifying
9(2y + 4) = 5 + (10y + -1)

Reorder the terms:
9(4 + 2y) = 5 + (10y + -1)
(4 * 9 + 2y * 9) = 5 + (10y + -1)
(36 + 18y) = 5 + (10y + -1)

Reorder the terms:
36 + 18y = 5 + (-1 + 10y)

Remove parenthesis around (-1 + 10y)
36 + 18y = 5 + -1 + 10y

Combine like terms: 5 + -1 = 4
36 + 18y = 4 + 10y

Solving
36 + 18y = 4 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
36 + 18y + -10y = 4 + 10y + -10y

Combine like terms: 18y + -10y = 8y
36 + 8y = 4 + 10y + -10y

Combine like terms: 10y + -10y = 0
36 + 8y = 4 + 0
36 + 8y = 4

Add '-36' to each side of the equation.
36 + -36 + 8y = 4 + -36

Combine like terms: 36 + -36 = 0
0 + 8y = 4 + -36
8y = 4 + -36

Combine like terms: 4 + -36 = -32
8y = -32

Divide each side by '8'.
y = -4

Simplifying
y = -4