6(y-1)+4y=3(7y+1)

Solution for 6(y-1)+4y=3(7y+1) equation:

Simplifying
6(y + -1) + 4y = 3(7y + 1)

Reorder the terms:
6(-1 + y) + 4y = 3(7y + 1)
(-1 * 6 + y * 6) + 4y = 3(7y + 1)
(-6 + 6y) + 4y = 3(7y + 1)

Combine like terms: 6y + 4y = 10y
-6 + 10y = 3(7y + 1)

Reorder the terms:
-6 + 10y = 3(1 + 7y)
-6 + 10y = (1 * 3 + 7y * 3)
-6 + 10y = (3 + 21y)

Solving
-6 + 10y = 3 + 21y

Solving for variable 'y'.

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

Add '-21y' to each side of the equation.
-6 + 10y + -21y = 3 + 21y + -21y

Combine like terms: 10y + -21y = -11y
-6 + -11y = 3 + 21y + -21y

Combine like terms: 21y + -21y = 0
-6 + -11y = 3 + 0
-6 + -11y = 3

Add '6' to each side of the equation.
-6 + 6 + -11y = 3 + 6

Combine like terms: -6 + 6 = 0
0 + -11y = 3 + 6
-11y = 3 + 6

Combine like terms: 3 + 6 = 9
-11y = 9

Divide each side by '-11'.
y = -0.8181818182

Simplifying
y = -0.8181818182