Y+5(8y+6)=30(y+1)+9y

Solution for Y+5(8y+6)=30(y+1)+9y equation:

Simplifying
Y + 5(8y + 6) = 30(y + 1) + 9y

Reorder the terms:
Y + 5(6 + 8y) = 30(y + 1) + 9y
Y + (6 * 5 + 8y * 5) = 30(y + 1) + 9y
Y + (30 + 40y) = 30(y + 1) + 9y

Reorder the terms:
30 + Y + 40y = 30(y + 1) + 9y

Reorder the terms:
30 + Y + 40y = 30(1 + y) + 9y
30 + Y + 40y = (1 * 30 + y * 30) + 9y
30 + Y + 40y = (30 + 30y) + 9y

Combine like terms: 30y + 9y = 39y
30 + Y + 40y = 30 + 39y

Add '-30' to each side of the equation.
30 + Y + -30 + 40y = 30 + -30 + 39y

Reorder the terms:
30 + -30 + Y + 40y = 30 + -30 + 39y

Combine like terms: 30 + -30 = 0
0 + Y + 40y = 30 + -30 + 39y
Y + 40y = 30 + -30 + 39y

Combine like terms: 30 + -30 = 0
Y + 40y = 0 + 39y
Y + 40y = 39y

Solving
Y + 40y = 39y

Solving for variable 'Y'.

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

Add '-40y' to each side of the equation.
Y + 40y + -40y = 39y + -40y

Combine like terms: 40y + -40y = 0
Y + 0 = 39y + -40y
Y = 39y + -40y

Combine like terms: 39y + -40y = -1y
Y = -1y

Simplifying
Y = -1y