6(7y+1)=5(5y+8)

Solution for 6(7y+1)=5(5y+8) equation:

Simplifying
6(7y + 1) = 5(5y + 8)

Reorder the terms:
6(1 + 7y) = 5(5y + 8)
(1 * 6 + 7y * 6) = 5(5y + 8)
(6 + 42y) = 5(5y + 8)

Reorder the terms:
6 + 42y = 5(8 + 5y)
6 + 42y = (8 * 5 + 5y * 5)
6 + 42y = (40 + 25y)

Solving
6 + 42y = 40 + 25y

Solving for variable 'y'.

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

Add '-25y' to each side of the equation.
6 + 42y + -25y = 40 + 25y + -25y

Combine like terms: 42y + -25y = 17y
6 + 17y = 40 + 25y + -25y

Combine like terms: 25y + -25y = 0
6 + 17y = 40 + 0
6 + 17y = 40

Add '-6' to each side of the equation.
6 + -6 + 17y = 40 + -6

Combine like terms: 6 + -6 = 0
0 + 17y = 40 + -6
17y = 40 + -6

Combine like terms: 40 + -6 = 34
17y = 34

Divide each side by '17'.
y = 2

Simplifying
y = 2