88=2*((5y-2)+(4y+1))

Solution for 88=2*((5y-2)+(4y+1)) equation:

Simplifying
88 = 2((5y + -2) + (4y + 1))

Reorder the terms:
88 = 2((-2 + 5y) + (4y + 1))

Remove parenthesis around (-2 + 5y)
88 = 2(-2 + 5y + (4y + 1))

Reorder the terms:
88 = 2(-2 + 5y + (1 + 4y))

Remove parenthesis around (1 + 4y)
88 = 2(-2 + 5y + 1 + 4y)

Reorder the terms:
88 = 2(-2 + 1 + 5y + 4y)

Combine like terms: -2 + 1 = -1
88 = 2(-1 + 5y + 4y)

Combine like terms: 5y + 4y = 9y
88 = 2(-1 + 9y)
88 = (-1 * 2 + 9y * 2)
88 = (-2 + 18y)

Solving
88 = -2 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
88 + -18y = -2 + 18y + -18y

Combine like terms: 18y + -18y = 0
88 + -18y = -2 + 0
88 + -18y = -2

Add '-88' to each side of the equation.
88 + -88 + -18y = -2 + -88

Combine like terms: 88 + -88 = 0
0 + -18y = -2 + -88
-18y = -2 + -88

Combine like terms: -2 + -88 = -90
-18y = -90

Divide each side by '-18'.
y = 5

Simplifying
y = 5